Question

Angelica is using synthetic division to divide 2x^3-9x^2-21x+10 by x+2 Which answer is correct?

Answer 1

Answer:

Option 1 is correct

Step-by-step explanation:

Given:

Polynomial: $2x^3-9x^2-21x+10$

Divide by x+2

Synthetic division: Divide a polynomial by a polynomial.

Write the coefficient of polynomial in highest degree to lowest degree.

Factor x+2 , divide by -2

Set of synthetic division:

-2  | 2     -9     -21       10 |

              -4       26      -10

    | 2     -13      5        0 |

First put down 2 at bottom row and then multiply by -2 and write down -9. Add -9 and 4 .

Repeat steps till end.

Answer 2

Answer:

A

Step-by-step explanation:

Argument

C and D are wrong right off the top. When you have x + 2 in synthetic division the divisor (2) must change signs.

B is incorrect because you don't change the signs of the polynomial that is being divided into. So that only leaves A and it is correct.

Summary

• Change the sign of the binomial doing the dividing (2 goes to - 2)
• Leave the polynomial's coefficients alone.