Question

Factorize the following ⤵⤵
${x}^{2} + x - 2$
With proper steps...​

Answer 1

$\huge\sf\underline{♡Answer♡}$


x²+x-2

= x²+ (2-1)x -2

= x²+ 2x - x - 2

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

= (x-1)(x+2)

Hope this helps!❤

-Regards

Answer 2

Polynomial f(x): A polynomial f(x) is an algebraic equation in which the degree of polynomial is non-negative integral number and terms are arranged in ascending or descending order.

Factorisation of polynomial: To break the polynomial into simple terms or factors.

To factorize the polynomial:

$f(x) = {x}^{2} + x - 2 \\ f(x) = {x}^{2} + 2x - x - 2 = 0 \\ f(x) = x(x+2) - 1(x + 2) \\ f(x) = (x-1)(x+2)$

Factors of f(x) = ${x}^{2} + x - 2$ are (x+2) and (x-1)