Question

find a quadratic polynomial one of whose zeros is 6 and sum of zero is -18​

Answer 1

Given :

• One of the zeroes of the Polynomial is 6, and the sum of zeroes is -18

To Find :

• The Quadratic Polynomial.

⟹ Since the sum of the zeroes is -18 and one of the zeroes is 6, we need to look for a number that when we add to 6 it should give us -18.

And the number is -24 which when we add to 6 will give us -18.

That is,

-24 + 6 = -18.

Now, the zeroes of the unknown polynomial are 6 and - 18.

So, the Quadratic Equation can be written as :

( x - 6 ) and ( x + 18 )

Solving further,

x² + 18x - 6x - 108

$\boxed{ x^2+ 12x - 108}$

Hence, the Quadratic Equation is x² + 12x - 108.