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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. 450 (page 638)

Factor completely:
$40 r^{2} + 810$ .

Short Answer

Expert verified

The factored polynomial is,

$10 (4 r^{2} + 81)$ .

Step by step solution

01

Step 1. Given the information.

The polynomial function is,

$40 r^{2} + 810$ .

02

Step 2. Factoring the polynomial.

$40 r^{2} + 810$

Taking out the common factor,

$= 10 (4 r^{2} + 81)$ .

03

Step 3. Checking the solution

$10 (4 r^{2} + 81)$

Multiplying the brackets,

role="math" localid="1644784093371" $= 10 脳 4 r^{2} + 10 脳 81 = 40 r^{2} + 810$

This is true.

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Most popular questions from this chapter

In the following exercises, factor each trinomial of the form $x^{2} + b x + c$ .

$x^{2} - 8 x + 12$

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

role="math" localid="1644572552533" $11 x^{2} + 34 x + 3$

Factor completely using trial and error: $2 a^{2} + 5 a + 3$

In the following exercises, factor each trinomial of the form $x^{2} + b x + c$ .

$q^{2} - 13 q + 36$

In the following exercises, factor completely using the sums and differences of cubes pattern, if possible.
$y^{3} - 216$

See all solutions

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