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

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. 

Answer 2

Answer:

B is correct. P(3)=-137

Step-by-step 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