Math, asked by gebarghese, 11 months ago

find the quadratic polynomial whose zeros are root 15 and minus root 15 ​

Answers

Answered by dassukanta70
8

Answer:

The polynomial is x^2 - 225.

Step-by-step explanation:

We know that the quadratic polynomial is x2 - (sum of the zeros) b + product of the zeroes.

Here sum of the zeroes is 0. And the product of the zeroes is -225.

Therefore the answer.

Please, please mark me as brainliest.

Answered by Anonymous
69

Given :

Find the quadratic polynomial whose zeros are root 15 and minus root 15

To find :

Find the quadratic polynomial

Solution :

Let the polynomial be ax² + bx + c and its zeros \sf \alpha, \sf \beta

Then,

Sum of zeros

\sf \alpha+\beta=\sqrt{15}-\sqrt{15}=\sqrt{15}(1-1)=0=\Large\frac{-b}{a}

Product of zeros

\sf \alpha\times\beta=-\sqrt{15}\times\sqrt{15}=-15=\Large\frac{c}{a}

a = 1 b = 0 c = -15

So the required quadratic polynomial

=> ax² + bx + c

=> x² + 0×b + (-15)

=> x² - 15

Similar questions