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College Algebra 7th Edition Robert F Blitzer - Solutions
Explain how to find the least common denominator for denominators of x2 - 100 and x2 - 20x + 100.
In Exercises 91–100, simplify using properties of exponents. (3) X 5
Explain the error in Exercises 95–97. Then rewrite the right side of the equation to correct the error that now exists. 1 a 1 + b || 1 a + b
In Exercises 87–106, perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. 6.9 × 108 3 x 105
In Exercises 89–105, factor completely, or state that the polynomial is prime.x2 + 16
In Exercises 85–96, simplify each algebraic expression.6 - 5[8 - (2y - 4)]
In Exercises 93–102, factor and simplify each algebraic expression. 12x 4 + 6x4
In Exercises 89–105, factor completely, or state that the polynomial is prime.3x4 - 9x3 - 30x2
In Exercises 95–96, write a polynomial in standard form that models, or represents, the area of the shaded region. x + 3 x+1 -x + 4- x + 2
Explain the error in Exercises 95–97. Then rewrite the right side of the equation to correct the error that now exists. 1 X + 7 = x 1 + 7
In Exercises 93–102, factor and simplify each algebraic expression. (x + 3)²(x + 3)²
In Exercises 91–100, simplify using properties of exponents. (25x4y6)2
In Exercises 87–106, perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. 3.6 × 104 9 × 10-2
In Exercises 85–96, simplify each algebraic expression.18x2 + 4 - [6(x2 - 2) + 5]
In Exercises 87–106, perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. 1.2 x 104 2 x 10-2
In Exercises 93–102, factor and simplify each algebraic expression. (x² + 4)² + (x² + 4)²
In Exercises 91–100, simplify using properties of exponents. (125x9y6)3
Explain the error in Exercises 95–97. Then rewrite the right side of the equation to correct the error that now exists. a a + X b || a x + b
In Exercises 89–105, factor completely, or state that the polynomial is prime.20x7 - 36x3
In Exercises 89–105, factor completely, or state that the polynomial is prime.x3 - 3x2 - 9x + 27
In Exercises 85–96, simplify each algebraic expression.14x2 + 5 - [7(x2 - 2) + 4]
In Exercises 91–100, simplify using properties of exponents. (34) 3 1 ,12
In Exercises 93–102, factor and simplify each algebraic expression. (x + 5) (x + 5) MIN
In Exercises 87–106, perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. 4.8 x 10-2 2.4 X 106
In Exercises 89–105, factor completely, or state that the polynomial is prime.16x2 - 40x + 25
In Exercises 97–102, write each algebraic expression without parentheses.-(-14x)
In Exercises 91–100, simplify using properties of exponents. (23) 4 اننا ,10
In Exercises 98–101, determine whether each statement makes sense or does not make sense, and explain your reasoning. The rational expressionscan both be simplified by dividing each numerator and each denominator by 7. 7 14x and 7 14 + x
What is a polynomial in x?
In Exercises 97–102, write each algebraic expression without parentheses.-(-17y)
In Exercises 98–101, determine whether each statement makes sense or does not make sense, and explain your reasoning.I evaluated 3x - 3/4x(x - 1) for x = 1 and obtained 0.
In Exercises 87–106, perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. 7.5 x 10-2 2.5 X 106
In Exercises 89–105, factor completely, or state that the polynomial is prime.x4 - 16
In Exercises 93–102, factor and simplify each algebraic expression. (x² + 3) - ² + (x² + 3) Balm
In Exercises 101–108, simplify by reducing the index of the radical. √/5²
In Exercises 93–102, factor and simplify each algebraic expression. (4x - 1)²-(4x - 1)²
Explain how to subtract polynomials.
In Exercises 97–102, write each algebraic expression without parentheses.-(2x - 3y - 6)
In Exercises 98–101, determine whether each statement makes sense or does not make sense, and explain your reasoning. When performing the divisionI began by dividing the numerator and the denominator by the common factor, x + 3. 7x x + 3 -1. (x + 3)² x - 5
In Exercises 87–106, perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. 2.4 x 10-2 4.8 x 10-6
In Exercises 101–108, simplify by reducing the index of the radical. راح
In Exercises 87–106, perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. 1.5 x 10-2 3 x 10-6
Explain how to multiply two binomials using the FOIL method. Give an example with your explanation.
In Exercises 89–105, factor completely, or state that the polynomial is prime.y3 - 8
In Exercises 97–102, write each algebraic expression without parentheses.-(5x - 13y - 1)
In Exercises 102–105, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. x² - 25 x-5 = x - 5
In Exercises 93–102, factor and simplify each algebraic expression. −8(4x + 3)-² + 10(5x + 1)(4x + 3)-¹
In Exercises 97–102, write each algebraic expression without parentheses.1/3 (3x) + [(4y) + (-4y)]
In Exercises 101–108, simplify by reducing the index of the radical. 9A
Explain how to find the product of the sum and difference of two terms. Give an example with your explanation.
In Exercises 89–105, factor completely, or state that the polynomial is prime.x3 + 64
In Exercises 89–105, factor completely, or state that the polynomial is prime.3x4 - 12x2
In Exercises 87–106, perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. 480,000,000,000 0.00012
In Exercises 97–102, write each algebraic expression without parentheses.1/2 (2y) + [(-7x) + 7x]
In Exercises 87–106, perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. 282,000,000,000 0.00141
In Exercises 98–101, determine whether each statement makes sense or does not make sense, and explain your reasoning. I subtracted 3x - 5/x - 1 from x - 3/x - 1 and obtained a constant.
Explain how to square a binomial difference. Give an example with your explanation.
In Exercises 103–110, insert either , or = in the shaded area to make a true statement. |-20|| ||-50|
In Exercises 101–108, simplify by reducing the index of the radical. .12
In Exercises 89–105, factor completely, or state that the polynomial is prime.27x3 - 125
In Exercises 102–105, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. 6+ 1 7 X || NX
Explain how to find the degree of a polynomial in two variables.
In Exercises 103–114, factor completely.10x2(x + 1) - 7x(x + 1) - 6(x + 1)
In Exercises 103–110, insert either , or = in the shaded area to make a true statement. 315 |-0.6|
In Exercises 87–106, perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. 0.00072 x 0.003 0.00024
In Exercises 102–105, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. 2х - 1 x - 7 + 3x - 1 x-7 5x – 2 x-7 0
In Exercises 103–110, insert either , or = in the shaded area to make a true statement. 5 2 |-2.5|
In Exercises 89–105, factor completely, or state that the polynomial is prime.x5 - x
In Exercises 87–106, perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. 66,000 X 0.001 0.003 × 0.002
In Exercises 102–105, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.The expression -3y - 6/y + 2 simplifies to the consecutive integer that follows -4.
In Exercises 103–106, determine whether each statement makes sense or does not make sense, and explain your reasoning.Knowing the difference between factors and terms is important: In (3x2 y)2, I can distribute the exponent 2 on each factor, but in (3x2 + y)2, I cannot do the same thing on each
In Exercises 103–114, factor completely.12x2(x - 1) - 4x(x - 1) - 5(x - 1)
In Exercises 101–108, simplify by reducing the index of the radical. 9
In Exercises 106–108, factor and simplify each algebraic expression. 1 16x4 + 32x4
In Exercises 101–108, simplify by reducing the index of the radical. 6,3 y
In Exercises 106–108, perform the indicated operations. 1 xn - 1 1 x + 1 1 x2n 1
In Exercises 89–105, factor completely, or state that the polynomial is prime.x3 + 5x2 - 2x - 10
In Exercises 103–110, insert either , or = in the shaded area to make a true statement. 30 3 40 4 14 15 15 14
In Exercises 106–108, perform the indicated operations. (--)(--)
In Exercises 103–114, factor completely.6x4 + 35x2 - 6
In Exercises 103–106, determine whether each statement makes sense or does not make sense, and explain your reasoning.I used the FOIL method to find the product of x + 5 and x2 + 2x + 1.
In Exercises 106–108, factor and simplify each algebraic expression. (x² − 4)(x² + 3)² − (x² − 4)²(x² + 3)²
In Exercises 107–114, simplify each exponential expression. Assume that variables represent nonzero real numbers. (x-²y)-3 (x²y-¹)³
In Exercises 89–105, factor completely, or state that the polynomial is prime.x2 + 18x + 81 - y2
In Exercises 101–108, simplify by reducing the index of the radical. 12 VA 8º
In Exercises 103–114, factor completely.7x4 + 34x2 - 5
In Exercises 103–106, determine whether each statement makes sense or does not make sense, and explain your reasoning.Many English words have prefixes with meanings similar to those used to describe polynomials, such as monologue, binocular, and tricuspid.
In Exercises 103–110, insert either , or = in the shaded area to make a true statement. 17 18 18 17 50 60 5 6
In Exercises 107–114, simplify each exponential expression.Assume that variables represent nonzero real numbers. (xy-2)-2 (x-²y)-3
In Exercises 106–108, factor and simplify each algebraic expression. 12x + 6x ندانا
In Exercises 109–110, evaluate each expression. 16+ V625
In Exercises 107–114, simplify each exponential expression.Assume that variables represent nonzero real numbers. (2x-3yz6)(2x)-5
In Exercises 103–106, determine whether each statement makes sense or does not make sense, and explain your reasoning.Special-product formulas have patterns that make their multiplications quicker than using the FOIL method.
In Exercises 103–114, factor completely.y7 + y
In Exercises 103–110, insert either , or = in the shaded area to make a true statement. 8 8 13 13 ||-1|
In Exercises 107–110, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.(3x3 + 2)(3x3 - 2) = 9x9 - 4
In Exercises 103–114, factor completely.(y + 1)3 + 1
In Exercises 106–108, perform the indicated operations.(x - y)-1 + (x - y)-2
In Exercises 107–110, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.(x - 5)2 = x - 5x + 25
In Exercises 103–114, factor completely.x4 - 5x2 y2 + 4y4
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