Question

If 2 is a zero of the polynomial $p\left(x\right)=a{x}^2-4x+4$, what is the value of a ?

• A. 2
• B. 1
• C. 4
• D. 3

Answer 1

The correct option is B 1

The value at which the polynomial becomes zero is called the zero of the polynomial.

For the above polynomial $p\left(x\right)$, 2 is a zero

$\Rightarrow$ $p\left(2\right)=0$
$\Rightarrow$ $a\left(2^2\right)-4\left(2\right)+4=0$
$\Rightarrow$ $a\left(4\right)-8+4=0$
$\Rightarrow$ $4a-4=0$
$\Rightarrow$ $4a=4$
$\Rightarrow$ $a=1$