Question

Find the quadratic polynomial whose one zeroes is 5 and the product of zeroes is 30.​

Answer 1

Hiiii friend,

Let Alpha and beta are the zeros of the Quadratic polynomial.

Alpha = 5

Product of zero = 30

(Alpha × Beta) = 30

5 × Beta = 30

Beta = 30/5 = 6

Alpha = 5 and Beta = 6

Therefore,

Sum of zeros = (Alpha + Beta) = (5+6) = 11

And,

Product of zeros = (Alpha × Beta) = (5×6) = 30

Therefore,

Required Quadratic polynomial = X²-(Alpha + Beta)X+Alpha × Beta

=> X²-(11)X +30

=> X²-11X+30

HOPE IT WILL HELP YOU........ :-)

Answer 2

Answer:

The required quadratic polynomial

p(x) = x^2 - 11x + 6

Hope it helps!!!!