What is (3x^5+x^4-4x^2)/x ?

The solution to (3x^5+x^4-4x^2)/x is x(x-1)(3x^2+4x+4)

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simplify (3x^5+x^4-4x^2)/x

simplify

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

x (x - 1) (3 x^{2} + 4 x + 4)

Solution steps

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

Factor

3 x^{5} + x^{4} - 4 x^{2} : x^{2} (3 x^{3} + x^{2} - 4)

= \frac{x ^{2} ( 3 x ^{3} + x ^{2} - 4 )}{x}

Factor

3 x^{3} + x^{2} - 4 : (x - 1) (3 x^{2} + 4 x + 4)

= \frac{x ^{2} ( x - 1 ) ( 3 x ^{2} + 4 x + 4 )}{x}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{2} = xx

= \frac{xx ( x - 1 ) ( 3 x ^{2} + 4 x + 4 )}{x}

Cancel the common factor:

x

= x (x - 1) (3 x^{2} + 4 x + 4)

6 x + 2 x

- y^{2} - y^{2}

2 \times 0.5

2 x + 1 + 7 x

\frac{- 9 + 5 i}{3 - i}

What is (3x^5+x^4-4x^2)/x ?
The solution to (3x^5+x^4-4x^2)/x is x(x-1)(3x^2+4x+4)