Question

Write the Quadratic polynomials whose roots are $-3$ and $4.$

Answer 1

We have,

$\alpha =-3,\beta =4$

We know that the general equation

$x^2-\left(sumofroots\right)x+\left(productofroot\right)=0$

$x^2-(-3+4)x+(-3\times 4)=0$

$x^2-\left(1\right)x+(-12)=0$

$x^2-x-12=0$

Hence, this is the answer.