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Popular >

factor x^3+5x^2+3x-9

Solution

factor

x^{3} + 5 x^{2} + 3 x - 9

Solution

(x - 1) (x + 3)^{2}

Solution steps

x^{3} + 5 x^{2} + 3 x - 9

Use the rational root theorem

= (x - 1) \frac{x ^{3} + 5 x ^{2} + 3 x - 9}{x - 1}

\frac{x ^{3} + 5 x ^{2} + 3 x - 9}{x - 1} = x^{2} + 6 x + 9

= (x - 1) (x^{2} + 6 x + 9)

Factor

x^{2} + 6 x + 9 : (x + 3) (x + 3)

= (x - 1) (x + 3) (x + 3)

Apply exponent rule:

aa = a^{2}

(x + 3) (x + 3) = (x + 3)^{2}

= (x - 1) (x + 3)^{2}

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Frequently Asked Questions (FAQ)

What is factor x^3+5x^2+3x-9 ?
The solution to factor x^3+5x^2+3x-9 is (x-1)(x+3)^2