Question

6X^2-21X+15 factorise ​

Answer 1

Step-by-step explanation:

6x² - 21x + 15

Firstly take 3 as common factor in the equation.

3( 2x² - 7x + 5)

Now factorise the Quadratic equation i.e , 2x² - 7x + 5

We need to split the middle term in 2 numbers such that, the sum of those numbers should be -7 and product should be 10

Numbers are -2 and -5

-2(-5) = 10

-2 + (-5) = -7

→ 3(2x² -2x - 5x + 5)

→ 3[ 2x(x - 1) - 5(x - 1)]

→ 3(x - 1)(2x - 5)

Hence, Factorized.