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mathematics
college algebra
Questions and Answers of
College Algebra
In Problems 49–58, find a polynomial function with the given real zeros whose graph contains the given point. Zeros: -2, 3, 5 Degree 3 Point: (2,36)
In Problems 41–48, find a polynomial function whose real zeros and degree are given.Zeros: -5, -2, 3, 5; degree 4
In Problems 27–40, use transformations of the graph of y = x4 or y = x5 to graph each function.f(x) = 3x5
Problems 110–119 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.If
In Problems 27–40, use transformations of the graph of y = x4 or y = x5 to graph each function.f(x) = -x5
Problems 110–119 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.
Problems 110–119 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final
In Problems 27–40, use transformations of the graph of y = x4 or y = x5 to graph each function. f(x) = 1 2 4
In Problems 15–26, determine which functions are polynomial functions. For those that are, state the degree. For those that are not, state why not. Write each polynomial in standard form. Then
In Problems 15–26, determine which functions are polynomial functions. For those that are, state the degree. For those that are not, state why not. Write each polynomial in standard form. Then
In Problems 15–26, determine which functions are polynomial functions. For those that are, state the degree. For those that are not, state why not. Write each polynomial in standard form. Then
Problems 110–119 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. If
In Problems 15–26, determine which functions are polynomial functions. For those that are, state the degree. For those that are not, state why not. Write each polynomial in standard form. Then
In Problems 15–26, determine which functions are polynomial functions. For those that are, state the degree. For those that are not, state why not. Write each polynomial in standard form. Then
In Problems 15–26, determine which functions are polynomial functions. For those that are, state the degree. For those that are not, state why not. Write each polynomial in standard form. Then
In Problems 15–26, determine which functions are polynomial functions. For those that are, state the degree. For those that are not, state why not. Write each polynomial in standard form. Then
In Problems 49–58, find a polynomial function with the given real zeros whose graph contains the given point. Zeros: -3, 1,4 Degree 3 y-intercept: 36
In Problems 49–58, find a polynomial function with the given real zeros whose graph contains the given point. Zeros: -4,-1,2 Degree 3 y-intercept: 16
In Problems 49–58, find a polynomial function with the given real zeros whose graph contains the given point. Zeros: -1 (multiplicity 2), 1 (multiplicity 2) Degree 4 Point: (-2,45)
In Problems 49–58, find a polynomial function with the given real zeros whose graph contains the given point. Zeros: 0 (multiplicity 1), -1 (multiplicity 2), 3 (multiplicity 2) Degree 5 Point:
In Problems 49–58, find a polynomial function with the given real zeros whose graph contains the given point.Zeros: -5(multiplicity 2), 2(multiplicity 1), 4(multiplicity 1); degree 4; contains the
In Problems 59–70, for each polynomial function:f(x) = 3(x - 7) (x + 3)2 (a) List each real zero and its multiplicity. (b) Determine whether the graph crosses or touches the x-axis at
In Problems 49–58, find a polynomial function with the given real zeros whose graph contains the given point.Zeros: -4(multiplicity 1), 0(multiplicity 3), 2(multiplicity 1); degree 5; contains the
In Problems 59–70, for each polynomial function:f(x) = 4(x + 4) (x + 3)3(a) List each real zero and its multiplicity. (b) Determine whether the graph crosses or touches the x-axis at each
In Problems 59–70, for each polynomial function: (a) List each real zero and its multiplicity. (b) Determine whether the graph crosses or touches the x-axis at each x-intercept. (c) Determine
In Problems 59–70, for each polynomial function: (a) List each real zero and its multiplicity. (b) Determine whether the graph crosses or touches the x-axis at each x-intercept. (c) Determine
In Problems 59–70, for each polynomial function: (a) List each real zero and its multiplicity. (b) Determine whether the graph crosses or touches the x-axis at each x-intercept. (c) Determine
In Problems 59–70, for each polynomial function: (a) List each real zero and its multiplicity. (b) Determine whether the graph crosses or touches the x-axis at each x-intercept. (c) Determine
In Problems 59–70, for each polynomial function: (a) List each real zero and its multiplicity. (b) Determine whether the graph crosses or touches the x-axis at each x-intercept. (c) Determine
In Problems 79–82, write a polynomial function whose graph is shown. -6 10 (1,-8)- -14- 6 X
In Problems 79–82, write a polynomial function whose graph is shown. -6 У 14 -10 (3,8) 6X
In Problems 79–82, write a polynomial function whose graph is shown. -6 YA 72 -72 6 Х (2, -50)
In Problems 79–82, write a polynomial function whose graph is shown. (-2, 16) -2 YA 21 -15 TO X
Problems 95–104 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Find
Problems 95–104 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Find
Problems 95–104 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Use
Problems 95–104 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.
Problems 95–104 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final
Problems 95–104 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Find
Problems 95–104 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.The
Problems 95–104 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Find
Problems 95–104 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.The
Problems 95–104 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.
Factor each trinomial. p²(p+q) + 4pq(p+q) + 3q²(p+q)
Solve each equation. 5(3x − 1)² + 3 = −16(3x − 1)
The following exercises are of mixed variety. Factor each polynomial. (2m + n)² (2m - n)²
Factor each trinomial. 6a3 + 12a2 - 90a
Factor each polynomial.512t3 + 27s 3
A rock is projected directly upward from ground level. After t seconds, its height (if air resistance is neglected) is modeled by the functionAfter how many seconds will it be 240 ft above the
Solve each equation. 2(x +3)² = 5(x + 3) - 2
Factor each trinomial. 3m4 + 6m3 - 72m2
The following exercises are of mixed variety. Factor each polynomial. (3k + 5)² - 4(3k + 5) + 4
A rock is projected directly upward from ground level. After t seconds, its height (if air resistance is neglected) is modeled by the functionAfter how many seconds does the rock reach its maximum
Solve each equation. (2x - 3)² = 16x²
A rock is projected directly upward from ground level. After t seconds, its height (if air resistance is neglected) is modeled by the functionWhy does the question in Exercise 54 have two
Factor each polynomial. 24n3 + 81p3
Factor each trinomial. 13y3 + 39y2 - 52y
The following exercises are of mixed variety. Factor each polynomial.50p2 - 162
Factor each polynomial. 250x3 + 16y3
Solve each equation. 9x² = (5x + 2)²
Factor each trinomial. 4p3 + 24p2 - 64p
Factor each polynomial. (y + 2)³ +64
The following exercises are of mixed variety. Factor each polynomial.y2 + 3y - 10
A garden has an area of 320 ft2. Its length is 4 ft more than its width. What are the dimensions of the garden? X x +4 X ಅಂತ ರಾಣಿಯಾಗಿ ಸಾಲ ರತಿ ಸ
Solve each equation for the specified variable.3s + bk = k - 2t for k
Factor each trinomial. 12p3 - 12p2 + 3p
Factor each trinomial. 3(m + p)²-7(m + p) - 20
Factor each polynomial. (p-q)³ + 125
Solve each equation for the specified variable. N 2= 3w + 7 W for w
A square mirror has sides measuring 2 ft less than the sides of a square painting. If the difference between their areas is 32 ft2, find the lengths of the sides of the mirror and the painting. X -
The base of a parallelogram is 7 ft more than the height. If the area of the parallelogram is 60 ft2, what are the measures of the base and the height? h+7
Factor each trinomial. 10(k + 1)² – 7(k + 1) + 1 -
The following exercises are of mixed variety. Factor each polynomial.12m2rx + 4mnrx + 40n2rx
A sign has the shape of a triangle. The length of the base is 3 m less than the height. What are the measures of the base and the height if the area is 44 m2? h Car Wash Today h-3
Factor each trinomial.45t3 + 60t2 + 20t
Factor each trinomial. 4(m – 5)2 – 4(m – 5) – 15
The following exercises are of mixed variety. Factor each polynomial.18p2 + 53pr - 35r2
Factor each trinomial.12p6 - 32p3r + 5r2
Factor each polynomial. m6 - 125
The following exercises are of mixed variety. Factor each polynomial. (5r + 2s)² - 6(5r+2s) + 9
The following exercises are of mixed variety. Factor each polynomial.21a2 - 5ab - 4b2
Factor each trinomial.2y6 + 7xy3 + 6x2
Factor each polynomial. x6 - 216
The following exercises are of mixed variety. Factor each polynomial.x2 - 2xy + y2 - 4
A farmer has 300 ft of fencing and wants to enclose a rectangular area of 5000 ft2. What dimensions should she use?
The following exercises are of mixed variety. Factor each polynomial. (p+8q)² 10(p+8q) + 25
Factor each polynomial.27 - 1000x9
The following exercises are of mixed variety. Factor each polynomial.x2 - y2 - 4
A rectangular landfill has an area of 30,000 ft2. Its length is 200 ft more than its width. What are the dimensions of the landfill?
Factor each polynomial.64 - 729p9
Factor each polynomial. 125y6 + z3
Factor each trinomial. 4(x - y)² - 23(x - y) - 6
A box with no top is to be constructed from a piece of cardboard whose length measures 6 in. more than its width. The box is to be formed by cutting squares that measure 2 in. on each side from the
The following exercises are of mixed variety. Factor each polynomial. (x — y)3 — (27 — y)3
The surface area of the box with open top shown in the figure is 161 in.2. Find the dimensions of the base. The surface area of the box is modeled by the function S(x) = x2 + 16x. 4 4 x 4 x 4
Use the the method of factoring by grouping to factor each polynomial.125p3 + 25p2 + 8q3 - 4q 2
The following exercises are of mixed variety. Factor each polynomial. (r + 2t)³ + (r3t)³
If an object is projected upward with an initial velocity of 64 ft per sec from a height of 80 ft, then its height in feet t seconds after it is projected is modeled by the functionHow long after it
Find two consecutive integers such that their product is 72.
Factor each polynomial.64y9 + z6
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