Question

A quadratic polynomial having zeroes 0 and −2, is

Find a quadratic polynomial, sum and product of whose zeroes are 5 and −6, respectively. Also, find the zeroes of the polynomial so obtained.

If α, β are zeroes of the quadratic polynomial x² + 3x + 2, find a quadratic polynomial whose zeroes are α + 1, β + 1.

Find a quadratic polynomial whose zeroes are 6 and –3.