Answer
$(x+6)(x-1)$
Work Step by Step
To factor a trinomial in the form $x^2+bx+c$, we must find two numbers whose product is $c$ and whose sum is $b$. We then insert these two numbers into the blanks of the factors $(x+\_)(x+\_)$.
In the case of $x^2+5x-6$, we are looking for two numbers whose product is $-6$ and whose sum is $5$. The numbers $6$ and $-1$ meet these criteria because: $$6\times(-1)=-6\;\text{and}\;6+(-1)=5$$When we insert these numbers into the blanks, we arrive at the factors: $(x+6)(x-1)$.
