Question

Factorise : 6x² + 5x - 6​

Answer 1

Answer:Answer: The factors of 6x² - 5x- 6 are (2x-3) (3x+2)

Let us proceed by using middle term factorisation.

Explanation:

Step 1: Multiply the coefficient of the first term by the constant term i.e (6 x -6) = -36

Step 2: Find the two factors of -36  such that it's sum is equal to the coefficient of the middle term, i.e -5 .

Hence, two such factors are -9 and 4  

-9 ×  4 = -36 (Product)

-9 + 4 = -5 (Sum)

Thus, by splitting the middle term we have,

6x² - 9x + 4x - 6=0.      

⇒ 3x(2x-3) + 2(2x-3) = 0

⇒ (2x-3)(3x+2) = 0

Thus, the factors of 6x² - 5x - 6 are (2x-3) (3x+2).

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Given expression is 6x

2

+5x−6

6x

2

+9x−4x−6

3x(2x+3)−2(2x+3)

(2x+3)(3x−2).