Question

If the value of quadratic polynomial $p\left(x\right)$ is $0$ at $x=-1$ and $p(-2)=2$, then value of $p\left(2\right)$ is:

• A. $18$
• B. $9$
• C. $6$
• D. $3$

Answer 1

Answer: (C)

$6$

Equation is $0$ at $x=-1$

$\Rightarrow (x+1)$ is a factor

Quadratic is $(x+\alpha )(x+1=0)$

$p(-2)=2(-2+\alpha )(-2+1)=22-\alpha =2\alpha =0$

Polynomial is

$x^2+x=0$

$\Rightarrow 2^2+2=4+2=6$