Question

solve the equation using middle term split $6x^{2} + 17x +12$

Answer 1

Answer:

6x^2 + 17x + 12

6x^2 + 9x+8x + 12

3x(2x+3)+4(2x+3)

(2x+3)(3x+4)

Answer 2

Answer:

Factorise : 6x2+17x+12 using common method.

6x2+17x+12

The coefficient of x2 is 6 and constant is 12. The product of two coefficients =6×12=72

Now, the coefficient of middle term =17

We know, that the factors of 72 such that the sum of these factors is 17 are 8&9(8×9=72,8+9=17)

So, 6x2+8x+9x+12

⇒2x(3x+4)+3(3x+4)

⇒(2x+3)(3x+4).

Hence, the answer is (2x+3)(3x+4).