Question

Find the quadratic poly nominal whosezeroes are -3and 4

Answer 1

If α,β are the roots of a polynomial then the polynomial is x²-(α+β)x+αβ = 0

Given two roots of the quadratic polynomial ar -3 and 4.

Their sum is(-3+4) 1.     (α+β)

Their product is(-3 x 4) -12.     (αβ)

Therefore the quadratic polynomial is,

x² - x -12 = 0.