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6x^2 + 27x - 15
Factor out the Greatest Common Factor (GCF) = 3
3(2x^2 + 9x - 5)
Factor a trinomial
3(x + 5) (2x - 1)
Multiply using the FOIL Method to confirm (check and test) the answer.
x x 2x = 2x^2
x x -1 = -1x
5 x 2x = 10x
5 x -1 = -5
2x^2 - 1x + 10x - 5
6x² + 27x - 15
= 3(2x² + 9x - 5)
= 3(2x - 1)(x + 5)
6x^2 +27x -15=0
Divided by 3 on Both Sides
2x^2 + 9x -5=0
2x^2 +10x -x -5 =0
2x(x+5) -1(x+5)=0
(x+5)(2x-1)=0
x=-5
x=1/2
6x² + 27x - 15 = 3(2x^2+10x--x--5) = 3{2x(x+5)--1(x+5)} = 3(x+5)(2x--1)
(6x - 3) (x + 5)
3 (2x - 1) (x + 5)
3 (2x^2 + 9x - 5)
3 (2x - 1 ) (x + 5)
=3(2x^2 +9x-5)
=3(x+5)(2x-1)
3(2x + 1)(x - 5)
(6X-3)(X+5)
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Verified answer
6x^2 + 27x - 15
Factor out the Greatest Common Factor (GCF) = 3
3(2x^2 + 9x - 5)
Factor a trinomial
3(x + 5) (2x - 1)
Multiply using the FOIL Method to confirm (check and test) the answer.
x x 2x = 2x^2
x x -1 = -1x
5 x 2x = 10x
5 x -1 = -5
2x^2 - 1x + 10x - 5
3(2x^2 + 9x - 5)
6x² + 27x - 15
= 3(2x² + 9x - 5)
= 3(2x - 1)(x + 5)
6x^2 +27x -15=0
Divided by 3 on Both Sides
2x^2 + 9x -5=0
2x^2 +10x -x -5 =0
2x(x+5) -1(x+5)=0
(x+5)(2x-1)=0
x=-5
x=1/2
6x² + 27x - 15 = 3(2x^2+10x--x--5) = 3{2x(x+5)--1(x+5)} = 3(x+5)(2x--1)
(6x - 3) (x + 5)
3 (2x - 1) (x + 5)
3 (2x^2 + 9x - 5)
3 (2x - 1 ) (x + 5)
=3(2x^2 +9x-5)
=3(x+5)(2x-1)
3(2x + 1)(x - 5)
(6X-3)(X+5)