(x-2) is NOT a factor APEX 2021
x2 × 2x = 2x3
What are the factors? 2x3 - 8x2 + 6x = 2x(x - 1)(x - 3).
9 - x2 will factor into (3 - x)(3 + x)
x2(x3 + 1) is the best you can do there.
(2x3 - x2) = x2 (2x - 1)
(x-2) is NOT a factor APEX 2021
If that's + 4x2, the answer is 2x(x2 + 2x - 4)
(2x + 1)(x - 5)(x + 5)
2x3 + 16 = 2(x3 + 8) = 2(x3 + 23) = 2(x + 2)(x2 - 2x + 22) = 2(x + 2)(x2 - 2x + 4)
x2 × 2x = 2x3
-2x3-2x2+12x (-2)(x3+x2-6x) (-2x)(x2+x-6) (-2x)(x2+3x-2x-6) (-2x)((x)(x+3)-2(x+3)) (-2x)((x-2)(x+3)
If that's 2x2, the answer is (x + 2)(x2 + 4)
2x( x2 + x - 6) = 2x (x + 3)(x - 2)
(x4 - 2x3 + 2x2 + x + 4) / (x2 + x + 1)You can work this out using long division:x2 - 3x + 4___________________________x2 + x + 1 ) x4 - 2x3 + 2x2 + x + 4x4 + x3 + x2-3x3 + x2 + x-3x3 - 3x2 - 3x4x2 + 4x + 44x2 + 4x + 40R∴ x4 - 2x3 + 2x2 + x + 4 = (x2 + x + 1)(x2 - 3x + 4)
103
2x(x2 + 3x - 7)