Question

Factorise x^2- 4x- 12​

Answer 1

Answer:

(x−6)(x+2)

Step-by-step explanation:

We can Split the Middle Term of this expression to factorise it

In this technique, if we have to factorise an expression like ax2+bx+c, we need to think of 2 numbers such that:

N1⋅N2=a⋅c=1⋅−12=−12

AND

N1+N2=b=−4

After trying out a few numbers we get N1=−6 and N2=2

−6⋅2=−12, and −6+(2)=−4

x2−4x−12=x2−6x+2x−12

=x(x−6)+2(x−6)

(x−6) is a common factor to each of the terms

=(x−6)(x+2)

Answer 2

hope u understood.

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