COLLEGE ALGEBRA
2nd Edition
ISBN: 9781264627493
Author: Miller
Publisher: MCG
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Chapter R, Problem 79RE
To determine
To calculate: The factor of the expression
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In Exercises 132–137, factor each polynomial. Assume that all
variable exponents represent whole numbers.
132. 9x2" + x" – 8
133. 4x2n – 9x" + 5
134. an+2 – a"+2 – 6a?
135. b2n+2 + 3b"+2
10b2
136. 3c"+2
10c"+1 + 3c"
137. 2d"+2
5d"+1 + 3d"
For Exercises 21–36, simplify the expression. Write the final form with no fractions.
In Exercises 106–108, factor and simplify each algebraic expression.
106. 16x
+ 32r4
107. (x² – 4)(x² + 3) - (r? – 4)°(x² + 3)2
108. 12x+ 6x
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- Make Sense? In Exercises 135–138, determine whether each statement makes sense or does not make sense, and explain your reasoning. 135. Knowing the difference between factors and terms is important: In (3x?y)“, I can distribute the exponent 2 on each factor, but in (3x² + y)', I cannot do the same thing on each term. 136. I used the FOIL method to find the product of x + 5 and x + 2x + 1. 137. Instead of using the formula for the square of a binomial sum, I prefer to write the binomial sum twice and then apply the FOIL method. 138. Special-product formulas have patterns that make their multiplications quicker than using the FOIL method.arrow_forwardIs it 3?arrow_forwardFind the least common denominator 1/2 and 3/4?arrow_forward
- Rationalize the numerator of x+10 – 100 Paragraph A.arrow_forwardFind a factor of 21001 – 1.arrow_forwardYolanda says she can calculate 631 – 398 by adding 2 to each number and calculating 633 – 400 instead. Sketch a number line, or write a series of equations, to explain why her method is valid.arrow_forward
- When 0.3(4x – 8) – 0.5(–2.4x + 4) is simplified, what is the resulting expressionarrow_forwardDetermine all coefficients an, a0, bn... ..arrow_forwardIn Exercises 129–132, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. 129. 9x? + 15x + 25 = (3x + 5) 130. x - 27 = (x – 3)(x² + 6x + 9) 131. x³ – 64 = (x – 4)3 132. 4x2 – 121 = (2x – 11)arrow_forward
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