Question

How to factorise 15x^2 + x - 6

Answer 1

Answer:

Use the sum-product pattern

1

52+−6

15x^{2}+{\color{#c92786}{x}}-6

15x2+x−6

1

52+10−9−6

15x^{2}+{\color{#c92786}{10x}}{\color{#c92786}{-9x}}-6

15x2+10x−9x−6

2

Common factor from the two pairs

152+10−9−6

15x^{2}+10x-9x-6

15x2+10x−9x−6

5

(3+2)−3(3+2

)

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

5x(3x+2)−3(3x+2)

3

Rewrite in factored form

5x(3+2)−3(3+2)

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

5x(3x+2)−3(3x+2)

(5−3)(3+2)

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Answer 2

Step-by-step explanation:

$answer$

$= 15x^2 + x - 6$

$= 15 \times 15 + x - 6$

$= 225 + x - 6$

$x = 225 - 6$

$= 219$

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