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Exercise

$f\left(x\right)=2x\left(17x^4+\frac{14}{x+1}\right)$

Step-by-step Solution

1

Combine $17x^4+\frac{14}{x+1}$ in a single fraction

$f\left(x\right)=x\frac{2\left(14+17x^4\left(x+1\right)\right)}{x+1}$
2

Multiply the single term $17x^4$ by each term of the polynomial $\left(x+1\right)$

$\left(14+17xx^4+17x^4\right)$
3

When multiplying exponents with same base you can add the exponents: $17xx^4$

$f\left(x\right)=x\frac{2\left(14+17x^{5}+17x^4\right)}{x+1}$

Final answer to the exercise

$f\left(x\right)=x\frac{2\left(14+17x^{5}+17x^4\right)}{x+1}$

Try other ways to solve this exercise

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