Question

Find the quadratic polynomial whose sum of zeroes is 0 and one of the zero is -4

Answer 1

given that the sum of two zeroes is 0 and one of the zero is -4

$\alpha + \beta = 0 \\ = > \alpha = - 4 \\ = > - 4 + \beta =0 \\ = > \beta = 4$

now we got both the roots which are 4,-4

${x}^{2} - ( \alpha + \beta )x + \alpha \beta = 0$

this is the formula we are going to use

${x}^{2} - (0)x + ( - 4)(4) = 0 \\ = > {x}^{2} - 16 = 0$

this is our required quadratic equation

hope it helps you

tq