Question

Use synthetic division to find the quotient and remainder when x – 6x3–8x2 + 7x+3 is divided by x – 7.

Answer 1

To perform synthetic division, arrange the polynomial in standard form and divide it by the divisor using synthetic division.

Step-by-step explanation:

To use synthetic division, we need to write the polynomial equation in standard form with the terms arranged in descending order of powers of x.

So the polynomial equation is: x^3 - 8x^2 + 7x + 3

We divide this polynomial by x - 7 using synthetic division:

7 | 1 - 8 7 3
| 7 - 7 0 -7
--------------
1 - 1 7 -4

The quotient is 1 - 1x + 7x^2 - 4x^3 and the remainder is -4.