Factor the trinomial 5x^2 + 31x + 6
Check the final answer first, then review the worked steps.
Problem
Factor the trinomial $5x^2 + 31x + 6$
Step-by-step solution
To factor the trinomial $5x^2 + 31x + 6$, we look for two binomials $(ax+b)(cx+d)$ such that $ac=5$, $bd=6$, and $ad+bc=31$. The factors are $(5x+1)(x+6)$.
Answer
$(5x+1)(x+6)$