How do you factor 3m^2-10m+8=03m2−10m+8=0?

1 Answer
Don't Memorise
Jul 13, 2015

color(green)((3m-4)(m-2) =0(3m−4)(m−2)=0

Explanation:

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

In this technique, if we have to factorise an expression like am^2 + bm + cam2+bm+c, we need to think of 2 numbers such that:

N_1*N_2 = a*c = 3*8= 24N1⋅N2=a⋅c=3⋅8=24
and,
N_1 +N_2 = b = -10N1+N2=b=−10

After trying out a few numbers we get N_1 = -6N1=−6 and N_2 =-4N2=−4
-6*-4 = 24−6⋅−4=24 and -6+(-4)= -10−6+(−4)=−10

3m^2-10m+8=03m2−10m+8=0

3m^2-6m-4m+8=03m2−6m−4m+8=0

3m(m-2) -4(m-2)=03m(m−2)−4(m−2)=0
color(green)((3m-4)(m-2) =0(3m−4)(m−2)=0

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