Question

Find the quadratic polynomial if its zeros are 0, root 5

Answer 1

Step-by-step explanation:

it will help you dear friend

Answer 2

Given:

Zeroes of an equation= 0, $\sqrt{5}$

To find:

The quadratic polynomial

Solution:

The required polynomial is $x^{2}$ - $\sqrt{5}$x=0.

We are given the equation's zeroes and so can obtain an equation using the zeroes' product and sum.

Let the polynomial's zeroes be X and Y.

So, X=0 and Y=$\sqrt{5}$

Now, we will calculate the required product and the zeroes' sum.

The required sum=X+Y

=0+$\sqrt{5}$

=$\sqrt{5}$

Similarly, the required product=XY

=0×$\sqrt{5}$

=0

The required polynomial is as follows-

$x^{2}$- (zeroes' sum)x+ zeroes' product=0

Using the values,

$x^{2}$-$\sqrt{5}$x+0=0

$x^{2}$ - $\sqrt{5}$x=0

Therefore, the required polynomial is $x^{2}$ - $\sqrt{5}$x=0.