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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 6: Q 6.26TI (page 578)

Factor $p^{2} + 15 p q + 20 q^{2}$

Short Answer

Expert verified

The trinomial is prime

Step by step solution

01

Given information

Given the polynomial $p^{2} + 15 p q + 20 q^{2}$

02

Create the factor table

The table is

Factors of $20$	Sum of factors
$1, 20$	$1 + 20 = 21$
$4, 5$	$4 + 5 = 9$
$5, 4$	$5 + 4 = 9$

03

Checking for the combinations

The combination doesn't gives $15$ as the sum so the trinomial is prime

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Most popular questions from this chapter

Factor Trinomials of the Form $a x^{2} + b x + c$ Using Trial and Error.

$5 y^{2} + 16 y + 11$

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In the following exercises, factor the greatest common factor from each polynomial.

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