Question

1. Find a quadratic polynomial, the sum and product of whose zeroes are – 5 and 3, respectively.

Answer 1

Answer:

given sum and product of roots, a quadratic equation may be formed as

x² - x(sum of zeros) + (product of zeros).......(1)

in the given problem, sum of zeros = -5

product of zeros = 3

by substituting these values in (1)⃗, we get

p(x) = x² - x(-5) + 3

p(x) = x² + 5x + 3 Answer