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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 7: Q 43. (page 819)

Factor the Greatest Common Factor from a Polynomial.
$3 b (b - 2) - 13 (b - 2)$

Short Answer

Expert verified

The required answer is $(b - 2) (3 b - 13)$ .

Step by step solution

01

Step 1. Given information.

The given binomial is $3 b (b - 2) - 13 (b - 2)$ .

02

Step 2. Simplify the expression.

Apply exponent rule.

$3 b (b - 2) - 13 (b - 2)$

Factor out common term.

$(b - 2) (3 b - 13)$

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Most popular questions from this chapter

Factor: $12 p + 12$

Watermelon drop A springtime tradition at the University of California San Diego is the Watermelon Drop, where a watermelon is dropped from the seventh story of Urey Hall.

(a) The binomial $- 16 t^{2} + 80$ gives the height of the watermelon t seconds after it is dropped. Factor the greatest common factor from this binomial.

(b) If the watermelon is thrown down with initial velocity 8 feet per second, its height after t seconds is given by the trinomial $- 16 t^{2} - 8 t + 80 .$ Completely factor this trinomial.

Factor Trinomials of the form $x^{2} + b x + c$

$k^{2} - 16 k + 60$

In the following exercises, solve.

$(x - 3) (x + 7) = 0$

Factor Differences of Squares

In the following exercises, factor.

$169 n^{3} - n$

See all solutions

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