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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 314 (page 551)

Divide each polynomial by the binomial.
$(64 x^{3} - 27) \div (4 x - 3)$

Short Answer

Expert verified

The solution is $(16 x^{2} + 12 x + 9)$ .

Step by step solution

01

Step 1. Given information

Polynomial: $64 x^{3} - 27$

Binomial: $4 x - 3$

02

Step 2. Calculation

Using long division -

$16 x^{2} + 12 x + 9$

localid="1645989206912" $4 x - 3 \bar{) 64 x^{3} - 27}$

$64 x^{3} - 48 x^{2}$

localid="1645989303781" $\bar{48 x^{2} - 27}$

localid="1645989426696" $48 x^{2} - 36 x$

localid="1645989446533" $\bar{36 x - 27}$

$36 x - 27$

$\bar{0}$

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