Question

The sum and the product of zeroes of a quadratic polynomial p(x)
are 7 and 10 respectively.Then Find P(x).
(class 10 CBSE SAMPLE PAPER 2017-18 MATHS)

Answer 1

SOLUTION:

Given, sum of zeroes= α +β= 7


Product of zeroes= αβ= 10


We know that if α  and β are the zeroes of a quadratic polynomial , then the quadratic polynomial


x²- (sum of zeroes) x +product of zeroes


Required polynomial p(x)= x²-(7)x+10


p(x) = x²-7x+10


Hence ,Required polynomial p(x)= x²-7x+10


Hope this will help you...