How do you factor $20 x^{2} - 54 x + 36$ $20x^2-54x+36$ ?

Question

How do you factor $20 x^{2} - 54 x + 36$ $20x^2-54x+36$ ?

1 Answer

Impact of this question

2030 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-06-05T14:55:10

$2 (2 x - 3) (5 x - 6)$ $2(2x-3)(5x-6)$

Explanation:

$take out a common factor 2$ $"take out a "color(blue)"common factor "2$

$= 2 (10 x^{2} - 27 x + 18)$ $=2(10x^2-27x+18)$

$using the a-c method to factor the quadratic$ $"using the a-c method to factor the quadratic"$

$the factors of the product 10 \times 18 = 180$ $"the factors of the product "10xx18=180$

$which sum to - 27 are - 15 and - 12$ $"which sum to - 27 are - 15 and - 12"$

$split the middle term using these factors$ $"split the middle term using these factors"$

$10 x^{2} - 15 x - 12 x + 18 \leftarrow factor by grouping$ $10x^2-15x-12x+18larrcolor(blue)"factor by grouping"$

$= 5 x (2 x - 3) - 6 (2 x - 3)$ $=color(red)(5x)(2x-3)color(red)(-6)(2x-3)$

$take out the common factor (2 x - 3)$ $"take out the "color(blue)"common factor "(2x-3)$

$= (2 x - 3) (5 x - 6)$ $=(2x-3)(color(red)(5x-6))$

$20 x^{2} - 54 x + 36 = 2 (2 x - 3) (5 x - 6)$ $20x^2-54x+36=2(2x-3)(5x-6)$

Science

Math

Humanities

... and beyond

How do you factor $20 x^{2} - 54 x + 36$ $20x^2-54x+36$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you factor 20x2−54x+3620x^2-54x+36?

1 Answer

Explanation:

Related questions

Impact of this question

How do you factor $20 x^{2} - 54 x + 36$ $20x^2-54x+36$ ?