How do you factor $2x^2+5x+2$ ?

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How do you factor $2x^2+5x+2$ ?

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Answer 1 · 2015-06-02T05:22:26

$2x^2+5x+2$

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:
$N_1*N_2 = 2*2 = 4$
and
$N_1 +N_2 = b = 5$
After trying out a few numbers we get $N_1 = 4$ and $N_2 =1$
$4.1= 4$ , and $4+1= 5$

$2x^2+5x+2 = 2x^2+4x + 1x+2$
$2x(x+2) +1(x+2)$

$(x+2)$ is common to both the terms.

$color(blue)(( 2x+1)(x+2)$ is the factorised form.

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How do you factor $2x^2+5x+2$ ?

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