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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 5: Q 5.79 (page 544)

Find the Quotient $(x^{4} - 7 x^{2} + 7 x + 6) \div (x + 3)$

Short Answer

Expert verified

The quotient is $x^{3} - 3 x^{2} + 2 x + 1 + \frac{3}{x + 3}$

Step by step solution

01

Step 1. Given information

$(x^{4} - 7 x^{2} + 7 x + 6) \div (x + 3)$

02

Step 2. Divide the polynomial

Write it as a long division problem and perform the division.

The quotient is $x^{3} - 3 x^{2} + 2 x + 1 + \frac{3}{x + 3}$

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Most popular questions from this chapter

Simplify ${(3 m^{2} n)}^{2} {(2 m n^{5})}^{4}$

Solve the square using the binomial squares pattern.

${(y + \frac{1}{4})}^{2}$

$Find the difference: (8 x^{2} + 3 x - 19) - (7 x^{2} - 14)$

In the following exercises . Simplify the expression

Multiply each pair of conjugates using the product of the conjugates pattern.

$(15 m^{2} - 8 n^{4}) (15 m^{2} + 8 n^{4})$

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