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

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

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

simplify

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

x (x^{2} + 5 x + 3)

Solution steps

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

Factor

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

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

Apply exponent rule:

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

x^{2} = xx

= \frac{xx ( x ^{2} + 5 x + 3 )}{x}

Cancel the common factor:

x

= x (x^{2} + 5 x + 3)

(x + 3)^{2} - 2

38 + 250 - 518

\frac{4 a b ^{3} - 3 a ^{2} b c + 12 a ^{3} b ^{2} c ^{4}}{- 2 a b ^{2} c ^{3}}

(3 - 1)^{2} + 2 (3 - 1) + 5

(x^{2} - 8)^{2} - 8