Question

Use synthetic division to find P(3) for P(x) = x4 – 6x3 – 4x2 – 6x – 2. . . a. 3. b. –137. c. 299. d. –47

Answer 1

B is correct. P(3)=-137

Explanation:

We are given an polynomial P(x)

`P(x)=x^4-6x^3-4x^2-6x-2`

We need to find P(3).

Using Synthetic Division

First we write the coefficient of polynomial and then divide by 3.

3 | 1 -6 -4 -6 -2 |

3 -9 -39 -135

1 -3 -13 -45 -137

Last number of division would be remainder when we divide by 3

If we put x=3 into P(x)

P(3)=-137

Thus, B is correct. P(3)=-137

Answer 2

In using the synthetic division with the given expression above, we will arrive with the answer of -137. So the answer would be option B. Synthetic division is the shortcut method of the division of polynomials. We use the synthetic division when the divisor is simple.