Question

x²-x-2 solve in middle term method​

Answer 1

Answer:

x²+x-2

= x²+2x-x-2

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

=(x-1)(x+2)

Answer 2

(x-2)(x+1)

Step-by-step explanation:

We are given x²-x-2 and we need to solve it by splitting the middle term method.

Splitting the middle term method is also called as factorization method. In this method, middle term is split or rewritten in the form of sum-product pattern and finally convert the equation in factorized form.

→ x²-x-2

According to sum-product pattern, -x can be written as x-2x.

→ x²+x-2x-2

Now, let us take x and -2 as common factors from the two pairs.

→ x(x+1)-2(x+1)

At last, rewrite this equation as factorized form.

→ (x-2)(x+1)

Hence, solved!