find the quadratic polynomial if sum of the zeroes is 1 and product of its zeroes is 1 Question find the quadratic polynomial if sum of the zeroes is 1 and product of its zeroes is 1 in progress 0 Math Ayla 3 weeks 2021-10-04T02:46:21+00:00 2021-10-04T02:46:21+00:00 2 Answers 0 views 0

## Answers ( )

:GIVENSum of zeroes of quadratic polynomial = 1

Product of zeroes of quadratic polynomial = 1

:TO FINDThe quadratic polynomial

:SOLUTIONWe know that, the standard form of quadratic polynomial is,

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

Sum of zeroes = 1

Product of zeroes = 1

==> x² – (1)x + 1

==> x² – 1x + 1

Therefore, the required polynomial is x² – x + 1.GIVEN:TOFIND:SOLUTION:We know that

Quadratic polynomial = x² – (sum of zeroes)x + product of roots

→x² – (1)x + 1

Quadraticpolynomial=Hence,requiredquadraticpolynomial=x²–x+1