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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 7.13. (page 813)

Factor: $18 u - 36$

Short Answer

Expert verified

The required factor is $18 (u - 2)$ .

Step by step solution

01

Step 1. Given information.

The given polynomial is:

$18 u - 36$

02

Step 2. Find the GCF.

Find the GCF of $18 u and 36$ ,

$18 u = 2 \cdot 3 \cdot 3 \cdot u 36 = 2 \cdot 2 \cdot 3 \cdot 3$

GCF is:

localid="1647689862043" $= 2 \cdot 3 \cdot 3 = 18$

03

Step 3. Find the factor.

Rewrite each term as a product using the GCF,

$18 \cdot u - 18 \cdot 2$

Factor the GCF,

$18 (u - 2)$

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Most popular questions from this chapter

Pumpkin drop A fall tradition at the University of California San Diego is the Pumpkin Drop, where a pumpkin is dropped from the eleventh story of Tioga Hall.

(a) The binomial $- 16 t^{2} + 128$ gives the height of the pumpkin t seconds after it is dropped. Factor the greatest common factor from this binomial.

(b) If the pumpkin is thrown down with initial velocity 32 feet per second, its height after t seconds is given by the trinomial $- 16 t^{2} - 32 t + 128 .$ Completely factor this trinomial.

Factor: $20 x^{3} - 10 x^{2} + 14 x$ .

Solve:

$b^{2} + 9 b + 14 = 0$

In the following exercises, factor completely.

$m^{4} - 81$

Factor Differences of Squares

In the following exercises, factor.

$169 m^{2} - n^{2}$

See all solutions

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