Question

find a quadratic polynomial whose zeros are 5 and - 5​

Answer 1

Here is ur answer............

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Answer 2

$\bold{\left(x^{2}-25\right)=0}$ is the quadratic polynomial whose zeros are 5 and -5.

Given:

5 and -5

To find:

Quadratic polynomial whose zeros are 5 and -5 = ?

Solution:

The zeroes or the roots of the equation is given as -5 and 5,  Sum of the roots = -5 + 5 = 0

Product of the roots = (-5)(5)= -25

The formula to form the quadratic equation is

$\begin{array}{l}{x^{2}-(\text {sum of the roots }) x+\text { product of the roots }=0} \\ {x^{2}-0 x-25=0}\end{array}$

$\left(x^{2}-25\right)=0$

$(x - 5)(x + 5)$ which is equal to $\left(x^{2}-25\right)=0$

Therefore, we get the quadratic polynomial as $\bold{\left(x^{2}-25\right)=0}$