Question

6y2 – 17y + 12 factorise​

Answer 1

Answer:

*Step by Step explaination:*

6y^2-17y+12

So, 12×6=72. Lets find factor of 72

which is 2×2×2×3×3. So, plus or minus the factor which makes 17 when plus and make 72 when multiply.

6y^2-(9+8)y+12

6y^2-9y-8y+12

3y(2y-3)-4(2y-3)

(3y-4)(2y-3)

Answer 2

Answer:  (2x+3)(3x+4)

Step-by-step explanation:

In  6x  ²+17x+12,split the middle term so that the product of the two coefficients is equal to product of the coefficients of first and third term.

As product of coefficients of first and third term is  6×12=72  ,  17x can be split into  8x  and  9x. Hence 6x²+17x+12

=6x²+8x+9x+12

=  2x(3x+4)+3(3x+4)

=  (2x+3)(3x+4)

Hope it helps u !!!