How do you factor $2x^2+5x-3$ ?

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Answer 1 · 2015-08-11T16:50:22

$color(blue)((2x-1)(x+3)$ is the factorised form of the expression.

$2x^2+5x−3$
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:

$N_1*N_2 = a*c = 2*(-3) = -6$
and
$N_1 +N_2 = b = 5$

After trying out a few numbers we get $N_1 = 6$ and $N_2 =-1$

$6*(-1) = -6$ , and $6+(-1)=5$

$2x^2+color(blue)(5x)−3 = 2x^2+color(blue)(6x -1x)−3$

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

$color(blue)((2x-1)(x+3)$ is the factorised form of the expression.

How do you factor 2x^2+5x-3 2x^2+5x-3 ?