How do you factor the trinomial $2 x^{2} + 7 x + 3 = 0$ $2x^2+7x+3=0$ ?

Question

How do you factor the trinomial $2 x^{2} + 7 x + 3 = 0$ $2x^2+7x+3=0$ ?

2 Answers

Impact of this question

1983 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-08-08T19:41:16

$x = - 3$ $x=-3$
$x = - \frac{1}{2}$ $x=-1/2$

Explanation:

$2 x^{2} + 7 x + 3 = 0$ $2x^2+7x+3=0$
or
$2 x^{2} + 6 x + x + 3 = 0$ $2x^2+6x+x+3=0$
or
$2 x (x + 3) + 1 (x + 3) = 0$ $2x(x+3)+1(x+3)=0$
or
$(x + 3) (2 x + 1) = 0$ $(x+3)(2x+1)=0$
or
$x + 3 = 0$ $x+3=0$
or
$x = - 3$ $x=-3$ ----------------------------Ans $1$ $1$
or
$2 x + 1 = 0$ $2x+1=0$
or
$2 x = - 1$ $2x=-1$
or
$x = - \frac{1}{2}$ $x=-1/2$ --------------------------Ans $2$ $2$

Answer 2 · 2016-08-08T19:47:08

$(2 x + 1) (1 x + 3) = 0$ $(2x+1)(1x+3) =0$

Explanation:

Find the factors of 2 an 3 which add ti make 7.

We note that $2 \times 3 = 6$ $2xx3 = 6$ together with $1 \times 1$ $1 xx 1$ will make 7.

$(2 x + 1) (1 x + 3) = 0$ $(2x+1)(1x+3) =0$

Science

Math

Humanities

... and beyond

How do you factor the trinomial $2 x^{2} + 7 x + 3 = 0$ $2x^2+7x+3=0$ ?

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you factor the trinomial 2x^2+7x+3=0 2x2+7x+3=02x^2+7x+3=0 ?

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question

How do you factor the trinomial $2 x^{2} + 7 x + 3 = 0$ $2x^2+7x+3=0$ ?