Question

When the polynomial $x^2+bx+c$ is divided by $x-2$, the remainder is 4. What is the value of 4b + 2c ?

• A. 16
• B. 8
• C. 4
• D. 0.0

Answer 1

The correct option is D 0.0

From remainder theorem, we know,

The remainder when $p\left(x\right)$ is divided by $x-2$, the remainder is $p\left(2\right)$.

Given,
$p\left(2\right)=4$
$\Rightarrow$ $2^2+2b+c=4$
$\Rightarrow$ $4+2b+c=4$
$\Rightarrow$ $2b+c=0$

Multiplying the above equation with 2 , we get
$4b+2c=0$