x4 - 4x3 - 12x2 -32x + 64 (x - 4)(x + 2)(x + 2)(x - 4)
gcf of 4x3=6 gcf of 3x8=8
(x - 3)(x + 1)(x + 2)(x + 4)
because 4X3=12
(x^2 + 1)(x^2 - 4x + 13)
4x3+12x2+3x+9
4x^(2)(x - 4) + 36(x - 4) (x - 4) is a common factor to both terms, hence (4x^(2) + 36)(x - 4) 4(x^(2) + 9)(x - 4) Done!!!! NB x^(2) + 9 does NOT factor .
4x(x + 11)(x + 5)
x5 - 1024 = (x - 4)(x4 + 4x3 + 16x2 + 64x + 256)
(4x3)+2 = 14
x4 - 4x3 - 12x2 -32x + 64 (x - 4)(x + 2)(x + 2)(x - 4)
x(x - 1)(4x - 15)
4x3+10x2+2x+5= (2x+5)(2x2+1)
gcf of 4x3=6 gcf of 3x8=8
(x - 3)(x + 1)(x + 2)(x + 4)
This polynomial doesn't factor. The only thing you can do is take out parts of some terms, e.g. 2(2x3 + 10x2 + x) - 3.
12x