Question

Find the zeros of the polynomial x^2+x-2

Answer 1

Answer:

x²+x-2

x²+2x-1x-2

x(x+2)-1(x+2)

(x-1)(x+2)

(x-1)=0 or (x+2)=0

x=1 or x=-2

Answer 2

The zeros of the polynomial x^2+x-2 are -2 and 1.

Given,

x² + x - 2

In order to find the zeros of this polynomial, we need to equate given polynomial to zero. So, we have,

x² + x - 2  = 0

x² + 2x - x - 2  = 0                        (∵ x can be written as 2x - x )

x ( x + 2 ) - 1 ( x + 2 ) = 0

( x - 1 )( x + 2 ) = 0

( x - 1 ) = 0 or ( x + 2 ) = 0

x = -2, x = 1