How do you factor the expression $6 x^{2} - 27 x - 15$ $6x^2 - 27x - 15$ ?

Question

How do you factor the expression $6 x^{2} - 27 x - 15$ $6x^2 - 27x - 15$ ?

2 Answers

Impact of this question

2869 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-08T11:32:03

$3 (x - 5) (2 x + 1)$ $3 (x-5) (2 x+1 )$

Explanation:

$6 x^{2} - 27 x - 15 = 6 x^{2} - 30 x + 3 x - 15$ $6 x^2 -27 x -15 = 6 x^2 -30 x +3 x -15$

$= 6 x (x - 5) + 3 (x - 5) = (x - 5) (6 x + 3)$ $=6 x (x -5) +3 ( x -5) = (x-5) (6 x+3)$

$3 (x - 5) (2 x + 1)$ $3 (x-5) (2 x+1 )$ [Ans]

Answer 2 · 2018-05-08T11:40:41

$(3 x - 15) (2 x + 1)$ $(3x-15)(2x+1)$

Explanation:

First, we need to find which two numbers multiply with each other to give -90 ( $- 15 \times 6)$ $-15xx6)$ and when added together it gives $- 27$ $-27$ .

So lets find the multiples of -90:
$- 2 \times 45$ $-2xx45$
$- 6 \times 15$ $-6xx15$
$- 30 x 3$ $-30x3$ -----> this when multiplied gives $- 90$ $-90$ and adding gives us $- 27$ $-27$ .

$6 x^{2} - 27 x - 15$ $6x^2-27x-15$
$6 x^{2} + 3 x - 30 x - 15$ $6x^2+3x-30x-15$
$3 x (2 x + 1) - 15 (2 x + 1)$ $3x(2x+1) -15(2x+1)$
$(3 x - 15) (2 x + 1)$ $(3x-15)(2x+1)$

Science

Math

Humanities

... and beyond

How do you factor the expression $6 x^{2} - 27 x - 15$ $6x^2 - 27x - 15$ ?

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you factor the expression 6x2−27x−156x^2 - 27x - 15?

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question

How do you factor the expression $6 x^{2} - 27 x - 15$ $6x^2 - 27x - 15$ ?