Find the remainder when f(x) is divided by (x - k)
-$$f ( x ) = 4 x ^ { 3 } - 7 x ^ { 2 } - 3 x + 5 ; k = - 2$$
A) 2
B) $- 49$
C) -61
D) $- 15$

Question

Quizplus · Accepted Answer

To find the remainder when $f(x)$ is divided by $(x - k)$, we can use the Remainder Theorem, which states that the remainder is $f(k)$. Substituting $k = -2$ into $f(x)$, we get $f(-2) = 4(-2)^3 - 7(-2)^2 - 3(-2) + 5 = -32 - 28 + 6 + 5 = -49$.

Find the Remainder When F(x) Is Divided by (X - f(x)=4x3−7x2−3x+5;k=−2f ( x ) = 4 x ^ { 3 } - 7 x ^ { 2 } - 3 x + 5 ; k = - 2f(x)=4x3−7x2−3x+5;k=−2

Find the Remainder When F(x) Is Divided by (X - $f ( x ) = 4 x ^ { 3 } - 7 x ^ { 2 } - 3 x + 5 ; k = - 2$