Factorise 6x^2-13x+6
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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=6⋅6=36
AND
N1+N2=b=−13
After trying out a few numbers we get N1=−9 and N2=−4
−9⋅−4=36, and −9+(−4)=−13
6x2−13x+6=6x2−9x−4x+6
=3x(2x−3)−2(2x−3)
(2x−3) is a common factor to each of the terms
=(2x−3)(3x−2)
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=6⋅6=36
AND
N1+N2=b=−13
After trying out a few numbers we get N1=−9 and N2=−4
−9⋅−4=36, and −9+(−4)=−13
6x2−13x+6=6x2−9x−4x+6
=3x(2x−3)−2(2x−3)
(2x−3) is a common factor to each of the terms
=(2x−3)(3x−2)
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