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Popular >

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

Solution

factor

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

Solution

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

Solution steps

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

Use the rational root theorem

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

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

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

Factor

m^{2} - 6 m + 9 : (m - 3) (m - 3)

= (m + 1) (m - 3) (m - 3)

Apply exponent rule:

aa = a^{2}

(m - 3) (m - 3) = (m - 3)^{2}

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

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Frequently Asked Questions (FAQ)

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