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Chapter 5: Q. 474 (page 562)

In the following exercise, divide polynomial by the binomial

(4x2-21x-18)梅(x-6)

Short Answer

Expert verified

The Quotient is4x+3and remainder is 0.

Step by step solution

01

Step 1. Given information. 

Dividend = 4x2-21x-18

Divisor =x-6

02

Step 2. Divide polynomials using long division 

Use long division to divide the polynomials.
4x+3x-64x2-21x-18-(4x2-24x)3x-18-(3x-18)0

From the above division, it is clear that:

Quotient =4x+3

Remainder = 0

03

Step 3. Conclusion. 

The quotient is (4x+3) and the remainder is 0.

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