Question

Find quadratic

Polynomial whoes zero is 2and -6

Answer 1

Answer:

x^2+2x-12

this is the answer

Answer 2

Answer:

${ \huge{ \underline{ \bf { \red{Question}}}}}$

Find quadratic Polynomial whoes zero is 2and -6

Solution:-

Given zeroes of polynomial are 2,-6

${ \sf{ \alpha = 2 }}$

${ \sf{ \beta = - 6}}$

We have to find sum of zeroes and products of zeroes

${ \sf{ \alpha + \beta = 2 + ( - 6) = 2 - 6 = - 4}}$

Sum of zeroes= -4

${ \sf{ \alpha \times \beta = 2 \times - 6 = - 12}}$

Product of zeroes= -12

Quadratic polynomial

${ \implies{ \sf{ {x}^{2} - ( \alpha + \beta )x + ( \alpha \times \beta ) }}}$

${ \to{ \sf{ {x}^{2} - ( - 4)x + ( - 12) }}}$

${ \to{ \sf{ {x}^{2} + 4x - 12 }}}$

${ \therefore{ \sf{ {x}^{2} + 4x - 12 \: \: is \: the \: polynomial}}}$