Question

If the sum and product of the zeroes of a quadratic
polynomial are 3 and -10 respectively, find the
quadratic polynomial.

Answer 1

Answer:

Sum of zeroes, α β + = 3

and product of zeroes, αβ =− 10

Quadratic polynomial,

p (x ) = x^ 2 = − +α β + αβ

x x3 10

Explanation:

Answer 2

Answer:

↪x²-(sum of roots)x+ (product of roots)

↪x² - (-½)x + (-3) = 0

↪x² + ½x - 3 = 0

↪ 2x² + x - 6 = 0

Hence, 2x² + x - 6 = 0 would be the required polynomial

Explanation: