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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 6: Q. 449 (page 638)

Factor completely:
$x y - 8 y + 7 x - 56$ .

Short Answer

Expert verified

The factored polynomial is,

$(y + 7) (x - 8)$ .

Step by step solution

01

Step 1. Given the information.

The polynomial function is,

$x y - 8 y + 7 x - 56$ .

02

Step 2. Factoring the polynomial.

$x y - 8 y + 7 x - 56$

$= (x y - 8 y) + (7 x - 56)$

Taking out the common factors,

role="math" localid="1644778756175" $= y (x - 8) + 7 (x - 8) = (y + 7) (x - 8)$ .

03

Step 3. Checking the solution.

$(y + 7) (x - 8)$

Multiplying the brackets,

$= y (x - 8) + 7 (x - 8) = x y - 8 y + 7 x - 56$

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Most popular questions from this chapter

In the following exercises, factor.

$x^{2} + x y + 5 x + 5 y$ .

Maribel factored $y^{2} - 30 y + 81$ as ${(y - 9)}^{2}$ . Was she right or wrong? How do you know?

In the following exercises, find the greatest common factor.

$12 m^{2} n^{3}, 30 m^{5} n^{3}$

In the following exercises, factor completely using the perfect square trinomials pattern.

$36 s^{2} + 84 s + 49$

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

$12 x^{3} - 10 x$

See all solutions

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