Question

factorise this Question

Q1 ) 6x^2+5x-6​

Answer 1

Here is the answer of your question

Answer 2

Answer:

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

Step-by-step 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).