What is factor e^9-5e^3+4 ?

The solution to factor e^9-5e^3+4 is (e-1)(e^8+e^7+e^6+e^5+e^4+e^3-4e^2-4e-4)

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factor e^9-5e^3+4

factor

e^{9} - 5 e^{3} + 4

(e - 1) (e^{8} + e^{7} + e^{6} + e^{5} + e^{4} + e^{3} - 4 e^{2} - 4 e - 4)

Solution steps

e^{9} - 5 e^{3} + 4

Use the rational root theorem

a_{0} = 4, a_{n} = 1

The dividers of

a_{0} : 1, 2, 4,

The dividers of

a_{n} : 1

Therefore, check the following rational numbers:

\pm \frac{1 , 2 , 4}{1}

\frac{1}{1}

is a root of the expression, so factor out

e - 1

= (e - 1) \frac{e ^{9} - 5 e ^{3} + 4}{e - 1}

\frac{e ^{9} - 5 e ^{3} + 4}{e - 1} = e^{8} + e^{7} + e^{6} + e^{5} + e^{4} + e^{3} - 4 e^{2} - 4 e - 4

= (e - 1) (e^{8} + e^{7} + e^{6} + e^{5} + e^{4} + e^{3} - 4 e^{2} - 4 e - 4)

\frac{1}{2 ( s + 0.2 )}

10 + 6

\frac{d}{d a} ((b) (ab))

(x^{5}) d x

5 \cdot 1 0^{- 5}

What is factor e^9-5e^3+4 ?
The solution to factor e^9-5e^3+4 is (e-1)(e^8+e^7+e^6+e^5+e^4+e^3-4e^2-4e-4)