The GCF is 27.
No 9xx-18x+36 9(xx-2x+4) xx-2x+4 (doesn't factor evenly)
The GCF is 3x
3x + 1)(3x - 4)
a2 + 28a + 27 = 0 (a + 1)(a + 27) = 0 a = -1 or -27 However, the second line is the factorised form, the third is what a is equal to
= 53 9x3 + 9x2 + 5x1+ 3x1 27 + 18 + 5 + 3
(-3x - 1)(3x - 7)
9x2 + 9x - 10 =(3x - 2)(3x + 5)
3x
Factor: 9x2 - 25.
(3x - y)(3x - y)
9x2 + 12x + 4 = 9x2 + 6x + 6x + 4 = 3x(3x + 2) + 2(3x + 2) = (3x + 2)(3x + 2) = (3x + 2)2
(3x + 4)(3x + 4)
9x2+11x-14 = (9x-7)(x+2) when factored with the help of the quadratic equation formula.
(3x - y)(3x - 5y) and (2x + 1)(2x + 11)
x3 + 9x2 + 27x + 27 Given the numbers in the equation, we can likely bet on (x + 3) being a factor. Let's try it with artificial division: 3 * 1 = 3 9 - 3 = 6 3 * 6 = 18 27 - 18 = 9 3 * 9 = 27 27 - 27 = 0 Bingo. So let's carry it out in long division:                       x2 + 6x + 9                    _____________________ x + 3 ) x3 + 9x2 + 27x + 27                        x3 + 3x2                                        6x2 + 27x                                        6x2 + 18x                                                                9x + 27                                                                9x + 27                                                                                    0 So we have: x3 + 9x2 + 27x + 27 = (x + 3)(x2 + 6x + 9) Which we can now factor further with relative ease: = (x + 3)(x + 3)(x + 3) = (x + 3)3
9x2 + 8x - 1 = (9x - 1)(x + 1)