Question

The sum and the product of the quadratic polynomial, $x^2-13x-(-24)$, are __ and __ respectively.

• A. -13, -24
• B. -13, 24
• C. 13, 24
• D. 24, 13

Answer 1

The correct option is C 13, 24

We know that for a quadratic polynomial $a{x}^2+bx+c$:
Sum of zeros = $\frac{-b}{a}$
Product of zeros = $\frac{c}{a}$
The given polynomial is $x^2-13x-(-24)$.
$x^2-13x-(-24)=x^2+(-13x)+24$
$\therefore$ Sum of roots = $\frac{-(-13)}{1}=13$
Product of roots = $\frac{24}{1}=24$