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Chapter 5: Q. 476 (page 562)

In the following exercises, divide each polynomial by the binomial.

(n3-2n2-6n+27)梅(n+3)

Short Answer

Expert verified

The quotient is n2-5n+9 and the remainder is 0.

Step by step solution

01

Step 1. Given information.

It is given that,

Dividend:n3-2n2-6n+27

Divisor:n+3

02

Step 2. Divide polynomials using long division

Use long division to divide the polynomials.

n+3n3-2n2-6n+27n2-5n+9-(n3+3n2)-5n2-6n-(-5n2-15n)9n+27-(9n+27)0

From the above division, it is clear that:

Quotient =n2-5n+9

Remainder=0

03

Step 3. Conclusion.

The quotient is n2-5n+9and the remainder is 0.

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