Question

Anything helps ! Brainilest to right answer only .!

Answer 1

x = -16 or x = 5

Solution:

Given polynomial:

`x^(2)+11 x-80=0`

To find the roots of the polynomial.

Split the middle term 11x.

11x = 16x - 5x

`x^(2)+11 x-80=0`

`x^(2)+16x-5x-80=0`

`(x^(2)+16x)+(-5x-80)=0`

Take the x common in first 2 terms an -5 common in next 2 terms.

`x(x+16)-5(x+16)=0`

Take (x + 16) common in both terms.

`(x+16)(x-5)=0`

x + 16 = 0 or x - 5 = 0

x = -16 or x = 5

Hence x = -16 or x = 5.