Question

find the quadratic polynomial whose zeroes are -3 and -5​

Answer 1

Sum of zeros:

α + β = -3-5 = -8

Product of zeros:

αβ = -3(-5) = 15

Required polynomial

= x²- (Sum of zeros)x + Product of zeros

= x² - (-8)x + 15

= x² + 8x + 15