Factor the trinomial 5x^2 + 33x + 18
Check the final answer first, then review the worked steps.
Problem
Factor the trinomial $5x^2 + 33x + 18$
Step-by-step solution
To factor the trinomial $5x^2 + 33x + 18$, we look for two numbers that multiply to $5 \times 18 = 90$ and add to $33$. These numbers are $30$ and $3$. We rewrite the middle term as $30x + 3x$ and factor by grouping: $5x^2 + 30x + 3x + 18 = 5x(x+6) + 3(x+6) = (5x+3)(x+6)$.
Answer
$(5x+3)(x+6)$