Question

Find the quadratic polynomial whose zeros are -3 and -4.

Answer 1

Answer:

let alpha and beta are the zeros of the polynomial

Alpha= - 3 and beta = - 4

alpha+beta= -3+(-4)

-3-4= -7

alpha.beta= -3×-4= 12

required equation

x²-(alpha+ beta)x + (alpha.beta)

x²-(-7)x + 12

x²+7x+12