Question

Use synthetic division to find the result when 2, x, cubed, minus, 7, x, squared, plus, 12, x, minus, 72x 3 −7x 2 +12x−7 is divided by x, minus, 1x−1.

Answer 1

After perform synthetic division, the result is 2x^2+2x+5.

Step-by-step explanation:

To perform the synthetic division, we set up the division problem in the following way:

x-1 | 2x3-7x2+12x-7

1) Bring down the first term:

2x3

2) Multiply the divisor (x-1) by the value just brought down (2x3):

2x3-2x2

3) Subtract the result from the next term of the dividend:

-7x2-(-2x2) = -7x2+2x2

4) Bring down the next term:

-7x2+2x2+12x

Repeat steps 2-4 until all terms have been divided.

The final result of the synthetic division is: 2x2+2x+5