What is factor x^3+8x^2-3x-90 ?

The solution to factor x^3+8x^2-3x-90 is (x-3)(x+5)(x+6)

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factor x^3+8x^2-3x-90

factor

x^{3} + 8 x^{2} - 3 x - 90

(x - 3) (x + 5) (x + 6)

Solution steps

x^{3} + 8 x^{2} - 3 x - 90

Use the rational root theorem

= (x - 3) \frac{x ^{3} + 8 x ^{2} - 3 x - 90}{x - 3}

\frac{x ^{3} + 8 x ^{2} - 3 x - 90}{x - 3} = x^{2} + 11 x + 30

= (x - 3) (x^{2} + 11 x + 30)

Factor

x^{2} + 11 x + 30 : (x + 5) (x + 6)

= (x - 3) (x + 5) (x + 6)

2 \times 4 x

2 \times 28

x^{5} - x^{4} - 5 x^{3} + x^{2} + 8 x + 4

2^{- 1} - 2

∣ 2 sin (x) ∣ - 1

What is factor x^3+8x^2-3x-90 ?
The solution to factor x^3+8x^2-3x-90 is (x-3)(x+5)(x+6)