What is (5x^3+21x^2+17x-3)/(x+3) ?

The solution to (5x^3+21x^2+17x-3)/(x+3) is 5x^2+6x-1

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simplify (5x^3+21x^2+17x-3)/(x+3)

simplify

\frac{5 x ^{3} + 21 x ^{2} + 17 x - 3}{x + 3}

5 x^{2} + 6 x - 1

Solution steps

\frac{5 x ^{3} + 21 x ^{2} + 17 x - 3}{x + 3}

Factor

5 x^{3} + 21 x^{2} + 17 x - 3 : (x + 3) (5 x^{2} + 6 x - 1)

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

Cancel the common factor:

x + 3

= 5 x^{2} + 6 x - 1

x^{2} - a^{2} + x - a^{2} \cdot x

(\frac{2}{( x ^{2} + 1 )}) e^{l} o gx

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

\frac{( a + b )}{( \frac{a}{12} + \frac{b}{6} )}

(\frac{4}{5 \cdot p - 3 q})^{2}

What is (5x^3+21x^2+17x-3)/(x+3) ?
The solution to (5x^3+21x^2+17x-3)/(x+3) is 5x^2+6x-1