Question

factorize:-
1. 2x²+7x+3
2. 6x²+5x-6
3. 3x²-x-4
4. x(12x+7)-10

Answer 1

1. 2x²+7x+3
= 2x²+6x+x+3
= 2x(x+3)+1(x+3)
= (x+3)(2x+1)

2. 6x²+5x-6
= 6x²+9x-4x-6
= 3x(2x+3)-2(2x+3)
= (2x+3)(3x-2)

3. 3x²-x-4
= 3x²-4x+3x-4
= x(3x-4)+1(3x-4)
= (3x-4)(x+1)

4. x(12x+7)-10
= 12x²+7x-10
= 12x²+15x-8x-10
= 3x(4x-5)-2(4x-5)
= (4x-5)(3x-2)


Hope it will help u :-)