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Questions and Answers of College Algebra

Solve each equation. (3x + 1)(x 3) = 2 + 3(x + 5)
The following exercises are of mixed variety. Factor each polynomial.z2 - zp - 20p2
Factor each polynomial. x3 - 27
Solve each equation.x2 - 8x + 16 = 0
Factor each trinomial. 15a2 - 22ab + 8b2
Solve each equation. (x+3)(x − 6) = (2x + 2)(x − 6)
The following exercises are of mixed variety. Factor each polynomial.512 + 1000 z3
Factor each polynomial. y3 - 64
Solve each equation. (2x + 1)(x + 5) = (x + 11)(x + 3)
Factor each trinomial. 14c2 - 17cd - 6d2
The following exercises are of mixed variety. Factor each polynomial.64m2 - 25n2
Factor each polynomial. 216 - t3
Solve each equation.x2 - 5x + 6 = 0
Factor each trinomial. 36m2 - 60m + 25
The following exercises are of mixed variety. Factor each polynomial.10r2 + 23rs - 5s 2
Factor each polynomial. 512 - m3
Solve each equation.x2 + 2x = 8
Factor each trinomial. 25r2 - 90r + 81
The following exercises are of mixed variety. Factor each polynomial.12k2 - 17kq - 5q 2
Factor each polynomial. x3 + 64
Solve each equation.6x2 = 5x + 50
Solve each equation. 2x3 - 9x2 - 5x = 0
Factor each trinomial. 40x2 + xy + 6y2
The following exercises are of mixed variety. Factor each polynomial.24p3q + 52p2q2 + 20pq3
Factor each polynomial. r3 + 343
Solve each equation.6x2 + 7x = 3
Solve each equation. 6x3 - 13x2 - 5x = 0
Factor each trinomial. 15p2 + 24pq + 8q2
The following exercises are of mixed variety. Factor each polynomial.32x2 + 16x3 - 24x5
Factor each polynomial. 1000 + y3
Solve each equation.x3 - 2x2 = 3x
Factor each trinomial. 6x2z2 + 5x z - 4
The following exercises are of mixed variety. Factor each polynomial.48k4 - 243
Solve each equation. (2x + 1)(x - 2) = -3
Factor each polynomial.729 + x3
Solve each equation.-4x2 + 36 = 0
Solve each equation. x3 - 6x2 = -8x
Factor each trinomial. 8m2n2 - 10mn + 3
The following exercises are of mixed variety. Factor each polynomial.14x2 - 25xq - 25q2
Factor each polynomial. 8x3 + 1
Solve each equation.6x2 + 9x = 0
Solve each equation. (x − 1)(x + 3) = (2x − 1)(x − 1)
Solve each equation. 9x3 = 16x
Factor each trinomial. 24x2 + 42x + 15
The following exercises are of mixed variety. Factor each polynomial.m3 + m2 - n3 - n2
Factor each polynomial. 27y3 + 1
Solve each equation. 25x3 = 64x
Factor each trinomial. 36x2 + 18x - 4
The following exercises are of mixed variety. Factor each polynomial.64x3 + y3 - 16x2 + y2
Factor each polynomial. 125x3 - 216
Solve each equation. 2x3 + 5x2 - 2x - 5 = 0
Factor each trinomial. -15a2 - 70a + 120
The following exercises are of mixed variety. Factor each polynomial.x2 - 4m2 - 4mn - n2
Factor each polynomial.8w3 - 125
Solve each equation. (x + 2) (5x²9x -18) = 0
Solve each equation.2x3 - x2 - 28x = 0
Solve each equation. 2x3 + x2 - 98x - 49 = 0
Factor each trinomial. -12a2 - 10a + 42
The following exercises are of mixed variety. Factor each polynomial.4r2 - s2 - 2st - t2
Factor each polynomial. x3 - 8y3
Solve each equation.-x3 - 3x2 + 4x + 12 = 0
Solve each equation.x3 - 6x2 - 9x + 54 = 0
A triangular wall brace has the shape of a right triangle. One of the perpendicular sides is 1 ft longer than twice the other. The area enclosed by the triangle is 10.5 ft2. Find the shorter of the
Factor each trinomial.-11x3 + 110x2 - 264x
The following exercises are of mixed variety. Factor each polynomial.18p5 - 24p3 + 12p6
Factor each polynomial. z3 - 125p3
Solve each equation. x3 - 3x2 - 4x + 12 = 0
Factor each trinomial. -9k3 - 36k2 + 189k
The following exercises are of mixed variety. Factor each polynomial.k2 - 6k + 16
Factor each polynomial. 64g3 - 27h3
Solve each equation. 2x2 = 3 - x
What is the slope of the line shown here? -2. 186 y 0 ·2. -3 y=-3 X
Factor each polynomial. (h+k) ² - 9
The following exercises are of mixed variety. Factor each polynomial.4k2 + 28kr + 49r2
The length of a rectangular picture frame is 2 in. longer than its width. The area enclosed by the frame is 48 in.2. What is the width? X x+2.
Factor each trinomial. p2 + 15p + 56
Factor each polynomial.k2 - 6k + 9
Solve each equation. (x3)(x + 5) = -7
Factor each trinomial. -6m2 - 13m + 15
The binomial x6 - y6 may be considered as either a difference of squares or a difference of cubes.Based on the answer in Exercise 75, fill in the blank with the correct factors so that x6 - y6 is
Solve each equation for the specified variable. W = 3y - x y for y
Solve each equation for the specified variable. c = -2t + 4 t for t
The binomial x6 - y6 may be considered as either a difference of squares or a difference of cubes.Based on the answer in Exercise 77, fill in the blank with the correct factor so that x6 - y6 is
The trinomial 6x2 + 7x - 20 may be factored using substitution.Multiply each term of 6x2 + 7x - 20 by 6 (the leading coefficient). Then compensate by dividing the result by 6 (that is, write it as a
The binomial x6 - y6 may be considered as either a difference of squares or a difference of cubes.Factor x6 - y6 by first factoring as a difference of cubes. Then factor further by considering one of
The trinomial 6x2 + 7x - 20 may be factored using substitution.The first term in the numerator of the answer from Exercise 77 is now a perfect square. Let t = 6x (the square root of 36x2), and
The trinomial 6x2 + 7x - 20 may be factored using substitution.Replace t with 6x in the answer from Exercise 79, and simplify to obtain the correct factorization of the trinomial.Data from in
The trinomial 6x2 + 7x - 20 may be factored using substitution.Factor 3x2 - 4x - 32 using the method just described. (Multiply each term and then divide the result by the leading coefficient 3.)
Decide whether each of the following is an expression or an equation. (a) (c) 2 X = 4 3x 5 x + 1 + 1 3 2 x-1 (b) (d) 4 3x + 5 x + 1 3 - 2 x-1 = 4 x² - 1
Identify each exercise as an expression or an equation. Then either simplify the expression by performing the indicated operation, or solve the equation, as appropriate. X 2 X 4 = 5
Find the missing numerator so that the two fractions are equivalent. (a) 4 - 5 || = ? 25 (b) 7 == X ? 10x (c) 3 2-x = ? x-2
Complete each statement.A rational number such as 3/4 is the quotient of two______, with denominator not_______. A ________ expression such as 2x2/2x + 1 is the quotient of two________ with
The following instruction is incorrect. "Solve 2x + 1 3x - 4 + 1 2x + 3 25
Identify each exercise as an expression or an equation. Then either simplify the expression by performing the indicated operation, or solve the equation, as appropriate. 4x20 (x + 5)² x² - 25 10
Identify each exercise as an expression or an equation. Then either simplify the expression by performing the indicated operation, or solve the equation, as appropriate. 9 7x 4 X
What is the LCD for the expressions 1 X and 12 9x
The trinomial 6x2 + 7x - 20 may be factored using substitution.Factor 12x2 + 35x + 8 using the method just described. (Multiply and divide by 12.)
Give the domain of each rational function using (a) Set-builder notation (b) Interval notation f(x)= = X x - 7
Simplify. alal 4
Identify each exercise as an expression or an equation. Then either simplify the expression by performing the indicated operation, or solve the equation, as appropriate. 1 X 1 X 1 + y 1 У

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