Find a quadratic equation with integer coefficients that has the given solution set.
-$\{8,-5\}$
A) $x^{2}-40 x-3=0$
B) $x^{2}+3 x-40=0$
C) $x^{2}-3 x-40=0$
D) $x^{2}-40 x+3=0$

Question

Quizplus · Accepted Answer

Given the roots $8$ and $-5$, the sum of the roots is $8 + (-5) = 3$ and the product of the roots is $8 \times (-5) = -40$. The quadratic equation can be formed as $x^2 - (sum \, of \, roots)x + (product \, of \, roots) = 0$, which gives $x^2 - 3x - 40 = 0$.

Find a Quadratic Equation with Integer Coefficients That Has the Given