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)

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

Step-by-step 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