What is factor a^3-8a^2+30a-56 ?

The solution to factor a^3-8a^2+30a-56 is (a-4)(a^2-4a+14)

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factor a^3-8a^2+30a-56

factor

a^{3} - 8 a^{2} + 30 a - 56

(a - 4) (a^{2} - 4 a + 14)

Solution steps

a^{3} - 8 a^{2} + 30 a - 56

Use the rational root theorem

= (a - 4) \frac{a ^{3} - 8 a ^{2} + 30 a - 56}{a - 4}

\frac{a ^{3} - 8 a ^{2} + 30 a - 56}{a - 4} = a^{2} - 4 a + 14

= (a - 4) (a^{2} - 4 a + 14)

x^{4} - x^{3} - 20 x^{2}

7 x^{2} - 16 x - 15

\frac{- 5 ( x - 2 )}{3} - \frac{6 ( 2 x - 1 )}{5} = \frac{1}{3}

\frac{1 0 ^{8}}{1 0 ^{4}}

64 - 27 x^{3}

What is factor a^3-8a^2+30a-56 ?
The solution to factor a^3-8a^2+30a-56 is (a-4)(a^2-4a+14)