Final answer to the problem
$f\left(x\right)=\frac{4x}{\left(x+5\right)\left(2x+1\right)}$
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Step-by-step Solution
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- Write in simplest form
- Solve by quadratic formula (general formula)
- Find the derivative using the definition
- Simplify
- Find the integral
- Find the derivative
- Factor
- Factor by completing the square
- Find the roots
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1
Factor the trinomial $2x^2+11x+5$ of the form $ax^2+bx+c$, first, make the product of $2$ and $5$
Learn how to solve factorization problems step by step online.
$\left(2\right)\left(5\right)=10$
Learn how to solve factorization problems step by step online. Simplify the expression f(x)=(4x)/(2x^2+11x+5). Factor the trinomial 2x^2+11x+5 of the form ax^2+bx+c, first, make the product of 2 and 5. Now, find two numbers that multiplied give us 10 and add up to 11. Rewrite the original expression. Factor 2x^2+10x+x+5 by the greatest common divisor 2.
Final answer to the problem
$f\left(x\right)=\frac{4x}{\left(x+5\right)\left(2x+1\right)}$
