Question

select the correct answer from each drop-down menu.
three students used factoring to solve a quadratic equation.
$$x^2 + 17x + 72 = 12$$

jordans solution	keiths solution	randalls solution

the equation was solved correctly by \\(\square\\). the solutions of the equation are \\(\square\\).

Explanation:

Step1: Check Jordan's solution

Jordan factored left side but didn't set equation to 0 before applying zero product property. So wrong.

Step2: Check Keith's solution

Keith rearranged to $x^2+17x+60=0$, factored to $(x+5)(x+12)=0$, solved correctly.

Step3: Check Randall's solution

Randall factored incorrectly and misapplied zero product property. So wrong.

Step4: Get solutions

From Keith's work: $x=-5$ and $x=-12$.

Answer:

Keith; -5 and -12