Question

1. Factorise 6x2 + 5x -6
class 9 polynomials




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Answer 1

Step-by-step explanation:

Step 1: Multiply the first term by the constant term, i.e., (6x2 and -6) = -36x2

Step 2: Find the two factors of -36x2 such that their sum is equal to the middle term, i.e., -5x.

Hence, two such factors are -9x and 4x

The product of -9x and 4x = -36x2

The sum of -9x and 4x = -5x

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).