Question

Divide the following polynomial using synthetic division, then place the answer in the proper location on the grid. Write answer in descending powers of x. (x^3 - 5x^2 + 4x + 7 ) ÷ (x - 1)

Answer 1

x^2 - 4x + (7) x - 1

Explanation:

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Answer 2

1x^2 - 4x is the quotient and remainder is 7

Explanation:

Let use synthetic division

First we write all the coefficients of x^3 - 5x^2 + 4x + 7 inside

we need to divide by x-1. x-1=0 so x= 1

so we put 1 outside

The coefficients of x^3 - 5x^2 + 4x + 7 is 1, -5, 4, 7

1 1 -5 4 7

1 -4 0

-------------------------------------------------------------

1 -4 0 7

Here 7 is the remainder

Now we write the answer in descending powers of x

1 -4 and 0 we have

The highest exponent in the question is x^3

when we divide by x-1 then highest exponent becomes x^2

So answer is 1x^2 - 4x + 0 that is 1x^2 - 4x