Question

If $x=2$ and $x=3$ are zeros of the quadratic polynomial $x^2+ax+b$, the values of $a$ and $b$ respectively are

• A. $5,-6$
• B. $-5,-6$
• C. $-5,6$
• D. $5,5$

Answer 1

The correct option is C $-5,6$

If $2$ and $3$ are the zeros of the quadratic polynomial then
$(x-2)(x-3)$ are the factors of the polynomial
Thus,

$(x-2)(x-3)$ is the polynomial.
$x^2-3x-2x+6$
$=>x^2-5x+6$ ...(1)

Now, the given polynomial is
$\Rightarrow x^2+ax+b$ ...(2)

Comparing (1) and (2), we get
$a=-5,b=6$

Hence, option C.