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Chapter 5: Q. 478 (page 562)

In the following exercises, use synthetic division to find the quotient and remainder.

x3-3x2-4x+12is divided by x+2

Short Answer

Expert verified

The quotient isx2-5x+6 and the remainder is 0.

Step by step solution

01

Step 1. Given information.

It is given that,

Dividend:x3-3x2-4x+12

Divisor:x+2

02

Step 2. Divide polynomials using synthetic division

Write the coefficients of the dividend in the first row of the synthetic division and write the divisor as x-cand place cin the synthetic division in the divisor box.

localid="1645602893422" -21-3-412-210-121-560

The numbers in the third row give us the result. The last digit in the third row represents the remainder and the other digits are the coefficients of the quotient.

Quotient=x2-5x+6

Remainder=0

03

Step 3. Conclusion.

The quotient is x2-5x+6and the remainder is 0.

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