You would factor 2x2 + 7x + 6 into (2x + 3) (x+2)
x2 + 4x + 6 can not be factored. If you want, you can reduce it to an expression with a single x term by comleting the square: x2 + 4x + 6 = x2 + 4x + 4 + 2 = (x + 2)2 + 2
(x+4) (x+6)
x3 + 2x2 + 3x + 6 = x2(x + 2) + 3(x + 2) = (x + 2)(x2 + 3)
(4x + 6)(4x - 6)
2x2-4x-3x+6 2x2-7x+6 (2x+3)(x+2)
2x2 + 7x + 6 = 2x2 + 4x + 3x + 6 = 2x(x + 2) + 3(x + 2) = (x + 2)(2x + 3)
2(x + 6)(x + 3)
You would factor 2x2 + 7x + 6 into (2x + 3) (x+2)
x2 + 4x + 6 can not be factored. If you want, you can reduce it to an expression with a single x term by comleting the square: x2 + 4x + 6 = x2 + 4x + 4 + 2 = (x + 2)2 + 2
(x+4) (x+6)
(6 - x)(2 + x)
4x2 - 2x - 12= 2x2 - x - 6= 2x2 - 4x + 3x - 6= 2x(x - 2) + 3(x - 2)= (x - 2)(2x + 3)
4x2 + 14x + 12 = 2(2x2 + 7x + 6) = 2(2x + 3)(x + 2)
x3 + 2x2 + 3x + 6 = x2(x + 2) + 3(x + 2) = (x + 2)(x2 + 3)
(4x + 6)(4x - 6)
x2 + 4x - 60 factors into (x + 10)(x - 6). You can use the FOIL method to check your answers when you factor.