Use the remainder theorem and synthetic division to find f(k).
-$$\mathrm { k } = - 2 ; \mathrm { f } ( \mathrm { x } ) = 3 \mathrm { x } ^ { 3 } - 7 \mathrm { x } ^ { 2 } - 3 \mathrm { x } + 12$$
A) $- 4$
B) $- 14$
C) $- 46$
D) $- 34$

Question

Quizplus · Accepted Answer

Using synthetic division with k = -2, the remainder is -34, which is f(-2).

Use the Remainder Theorem and Synthetic Division to Find F(k) k=−2;f(x)=3x3−7x2−3x+12\mathrm { k } = - 2 ; \mathrm { f } ( \mathrm { x } ) = 3 \mathrm { x } ^ { 3 } - 7 \mathrm { x } ^ { 2 } - 3 \mathrm { x } + 12k=−2;f(x)=3x3−7x2−3x+12

Use the Remainder Theorem and Synthetic Division to Find F(k) $\mathrm { k } = - 2 ; \mathrm { f } ( \mathrm { x } ) = 3 \mathrm { x } ^ { 3 } - 7 \mathrm { x } ^ { 2 } - 3 \mathrm { x } + 12$