Question

Factorise : 6x 2 - 17x +12

Answer 1

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6x²-17x+12

Write -17x as a difference.

→ 6x²-8x-9x+12

Factor out 2x from the expression.

→ 2x(3x-4)-9x+12

Factor out -3 from the expression.

→ 2x(3x-4)-3(3x-4)

Factor out 3x-4 from the expression.

→(3x-4)(2x-3)

The required factorisation.

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Answer 2

6x²-17x+12​ = (2x - 3)(3x - 4)

Given:

• 6x² - 17x + 12

To Find:

Factors

Solution:

• Factorization is finding factors which when multiplied together results in the original number.

6x²-17x+12​

Step 1:

Split the middle term

6x²-9x -8x +12​

Step 2:

Talking 3x common from 1st 2 terms and -4x common from last 2 terms

3x(2x -3)-4(2x- 3)

Step 3:

Talking (2x- 3) common  

(2x - 3)(3x - 4)

Hence 6x²-17x+12​ = (2x - 3)(3x - 4)