Question

Write a quadratic polynomial whose zeros are 9 and 1/9 ?

Answer 1

Hey

Here is your answer,

Zeroes=9,1/9

Sum of zeroes=9+1/9
=81+1/9
=82/9

Product of zeroes = 9x 1/9
=1

Quadratic polynomial = x^2 -(sum of zeroes)x + product of zeroes

=x^2 -82/9x+1
=9x^2 -82x +9

Hope it helps you!

Answer 2

Heya !!!

Here is your answer.

Given Two zeroes are 9 and 1/9.

Sum of zeroes = 1/9 + 9 = 82/9

Product Of Zeroes = 1/9 × 9 = 1

Now, Using Quadratic Equation Formula....

p(x) = kx² - (sum of Zeroes)x + (product of zeroes)
p(x) = x² - (82/9)x + 1

Multiply Whole Equation by 9.....
p(x) = 9x² - 82x + 9

Hope You Got IT