Core stretch

The roots of a quadratic are $-4$ and $\dfrac53$. Write the equation as $12x^2+bx+c=0$.[3]

Question

Core stretch The roots of a quadratic are $-4$ and $\dfrac53$. Write the equation as $12x^2+bx+c=0$.

Accepted Answer

$12x^2+28x-80=0$, so $b=28,c=-80$.

Perfect-square root and equation from roots