Question

zeros of the polynomial X square + X minus 2 are​

Answer 1

AnswEr:

the zeroes of this Polynomial are 1 and -2.

ExplanaTion:

Given Polynomial :

• x² + x - 2

By splitting middle term,

$\implies$ x² + 2x - x - 2

$\implies$ x ( x+2 ) - 1 ( x+2 )

$\implies$ ( x-1 ) ( x+2 )

Equate it to zero,

$\implies$ ( x - 1 ) = 0 and ( x + 2 ) = 0

$\implies$ x = 1 and -2

Hence, the zeroes of this Polynomial are 1 and -2.

$\rule{200}2$

Answer 2

$</p><p>\tt{\red{Given \: - }}$

$\tt{ \purple{ \implies{f(x) = {x}^{2} + x - 2 }}} \\ \\ \tt{ \blue{ \implies{ {x}^{2} + 2x - x - 2 }}} \\ \\ \tt{ \orange{ \implies{x(x + 2) - 1(x + 2)}}}$

$\tt{ \green{ \implies{(x - 1)(x + 2)}}}$

$</p><p>\tt{\blue{\implies{(x-1) = 0 => x = 1 }}} ........(A_{1})$

$</p><p>\tt{\blue{\implies{(x+2) = 0 => x = -2}}} ........(A_{2})$

$</p><p>\tt{\purple{---------}}$