Question

Find a quadratic polynomial the sum and the product whose zeros are -8 and 12. Respectively . Hence find the zeros

Answer 1

let the polynomial be p(x)

sum of zeroes = -8

product of zeroes = 12

we know that,

${x}^{2} - (sum)x + \: product \\ therefore \\ p(x) = {x}^{2} + 8x + 12$