Question

Factorize the following using middle term splitting method: x2 - 10x + 24​

Answer 1

Answer:

(x-6) (x-4)

Step-by-step explanation:

x2-6x-4x+24

x2(x-6) -4(x-6)

(x-6) (x-4)

hence, the answer is (x-6) (x-4).

Answer 2

Answer:

(x+4) (x-6) or(x-6) (x+4)

Step-by-step explanation:

we can split the middle term of this expression to Factorise it

in the technique if we have to factorise an expression like a×2+bx+c, we need to think of 2 numbers such that:

N1+N2=a.c=1.24=24

and

N1+N2=b=-10

after trying out a few numbers we get N1=6and N2=-4

-6. -4=24 and (-6) +(-4) =-10

x2-10x+24=x2-6x-4x+24

=x(x-6) -4(x-6)

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

=(x-6) (x+4)

or

x^2-10x+24

using splitting the middle term

x^2-6x-4x+24

x(x-6) +4(x-6)

(x+4)(x-6)