How do you factor $6x^2+7x+2$ ?

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Answer 1 · 2015-05-04T08:50:23

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

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

$N_1*N_2 = a*c = 6*2 = 12$
AND
$N_1 +N_2 = b = 7$

After trying out a few numbers we get $N_1 = 3$ and $N_2 =4$

$3*4 = 12$ , and $3+4= 7$

$6x^2 + 7x + 2 = 6x^2 +3x + 4x + 2$

$= 3x(2x+1) + 2(2x+1)$

$2x+1$ is a common factor to each of the terms

$=color(green)((2x+1)(3x+2)$

How do you factor 6x^2+7x+26x^2+7x+2?