While it is possible to take 4x out of all of those, it is also possible to add them and get 48x, which factors to 2 * 2 * 2 * 2 * 3 * x
factor the trinomial 16x^2+24x+9
3(2) + 24x + 48 = 0 6 + 24x + 48 = 0 24x + 54 = 0 24x + 54 - 54 = 0 - 54 24x = -54 24x/24 = -54/24 x = -9/4 x = -2 1/4
24x^3 + 72x2 + 30x = 6x*(4x^2 + 12x + 5)=6x*(2x + 1)*(2x + 5)
34-132
6x(1+4)
factor the trinomial 16x^2+24x+9
24x^5 + 24x^3 = 24x^3(x^2 + 1)
The quadratic 4x2+24x+11 = (2x+1)(2x+11)
12x^2+24x+12 12(x^2+2x+1) 12(x+1)^2
6x(3x2 - x + 4)
(3x + 4)(3x + 4)
3x(x - 2)(x - 4)
(5x - 3)(7x + 9)
(4x + 3)(4x + 3) (4x + 3)2
Let the symbol ^ mean "to the power" Then 9x^2 + 24x + 16 = (3x + 4)(3x +4) = (3x + 4)^2
4(x2 - 6x + 13)
30x2+25x-24x-20 = 30x2+x-20 = (6x+5)(5x-4) when factored