Question

The quadratic equation whose roots are $-4$ and $6$ is given by

• A. $x^2+2x-24=0$
• B. $x^2-2x-24=0$
• C. $x^2-2x+24=0$
• D. $x^2-4x-24=0$

Answer 1

The correct option is B $x^2-2x-24=0$

Sum of roots, $S=-4+6=2$ and
Product of roots, $P=-4\times 6=-24$
Hence, the required quadratic equation is $x^2-Sx+P=0$
$\Rightarrow x^2-2x-24=0$