Can somebody help me factor each polynomial?

Question

38. x^3-x^2-30x
40. 3x^3-300x
42. x^3+3x^2-2x-6

Answer 1

38. x(x^2-x-30)
x(x-6)(x+5)
40. 3x(x^2-100)
3x(x+10)(x-10)
42. x^2(x+3) + -2(x+3)
(x^2-2)(x+3)
(x+sqrt(2))(x-sqrt(2))(x+3)

Answer 2

38) Simplifying
x^3 + -1x^2 + -30x

Reorder the terms:
-30x + -1x^2 + x^3

Factor out the Greatest Common Factor (GCF), 'x'.
x(-30 + -1x + x^2)

Factor a trinomial.
x((-5 + -1x)(6 + -1x))

Final result:
x(-5 + -1x)(6 + -1x)




40) Simplifying
3x^3 + -300x

Reorder the terms:
-300x + 3x^3

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-100 + x^2)

Factor a difference between two squares.
3x((10 + x)(-10 + x))

Final result:
3x(10 + x)(-10 + x)


42) Simplifying
x^3 + 3x^2 + -2x + -6

Reorder the terms:
-6 + -2x + 3x^2 + x^3

Final result:
-6 + -2x + 3x^2 + x^3

Answer 3

x(x^2-x-30)= x(x+3)(x-6)

3x(x^2-100) 3x(x-10)(x+10)

(x+3)(x^2-2)