Question

$\text{Let a be the remainder when}p\left(x\right)=4x+8\text{is divided by}(x-2).\text{What is the value of}(a+2)?$

• A. 22
• B. 16
• C. 18
• D. 20

Answer 1

The correct option is C 18

$\text{From remainder theorem, we know}\text{that the remainder when p(x) is}\text{divided by (x-a ) is}p\left(a\right).$

$\text{Here, p(x) = 4x + 8}\text{Divisor : x-2}x-2=0x=2$

$\text{Given:}p\left(2\right)=a[\because \text{It is given, the}\text{remainder = a]}$
$\Rightarrow 4\left(2\right)+8=a$
$\Rightarrow a=16$

$\therefore a+2=16+2=18$