# Factorise the equation 6x^{2}-5x-6.

A quadratic expression is a polynomial of degree 2.** **We can use middle term factorisation to solve this problem.

## 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