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Popular >

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

Solution

factor

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

Solution

(x - 1)^{2} (x + 5)

Solution steps

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

Use the rational root theorem

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

\frac{x ^{3} + 3 x ^{2} - 9 x + 5}{x - 1} = x^{2} + 4 x - 5

= (x - 1) (x^{2} + 4 x - 5)

Factor

x^{2} + 4 x - 5 : (x - 1) (x + 5)

= (x - 1) (x - 1) (x + 5)

Apply exponent rule:

aa = a^{2}

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

= (x - 1)^{2} (x + 5)

Popular Examples

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- \frac{12}{5} + 1

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(1 + i) (1 + 2 i) (1 + 3 i)

simplify (3a-b)/2+(3a-b)/5 simplify

\frac{3 a - b}{2} + \frac{3 a - b}{5}

simplify 3/5 x+x simplify

\frac{3}{5} x + x

simplify ((0.1)/(0.01))+0.001 simplify

(\frac{0.1}{0.01}) + 0.001

Frequently Asked Questions (FAQ)

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