3x2 - 4x - 5 does not have rational factors.
Its roots are x = [4 +/- sqrt(76)]/6 ie -0.7863 and 2.11963 (approx).
So the factors are (x + 0.7863) and (x - 2.11963)
x2 - 4x - 21 = (x-7)(x+3)
4x(4x^2 + 3x + 1)
2x(2x - 1)
(2x - 1)(4x + 1)
To factorise the expression ( 12x^2 + 4x ), first identify the greatest common factor (GCF) of the terms. The GCF here is ( 4x ). Factor it out to get ( 4x(3x + 1) ). Thus, the expression can be written as ( 4x(3x + 1) ).
x2 - 4x - 21 = (x-7)(x+3)
4x(4x^2 + 3x + 1)
2x(2x - 1)
(2x - 1)(4x + 1)
(2x-1)(2x-1) = 4x^2 -4x + 1
(2x - 1)(2x + 1)
There is no rational factorisation.
(3x - 4)(4x - 3)
3x - 12 = 10x - 15 - 6x -10 3x - 12 = 4x -25 3x + 13 = 4x 13 = 4x - 3x 13 = x None?
4(x - 1)(x + 1)
(4x - 3)(2x + 3)
3x2 + 4x factors to x(3x + 4)