Question

2x²- 5x+12 is return as a polynomial coefficient as

Answer 1

Answer:

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=2⋅−12=−24

and,

N1+N2=b=−5

After trying out a few numbers we get:

N1=−8 and N2=3

3⋅(−8)=−24, and

3+(−8)=−5

2x2−5x−12=2x2−8x+3x−12

=2x(x−4)+3(x−4)

(x−4) is a common factor to each of the terms

=(2x+3)(x−4)