Question

Select the correct answer from each drop-down menu.
Three students used factoring to solve a quadratic equation.
12 + 171 + 72 = 12
Jordan's Solution
Keith's Solution
Randall's Solution
12 +177 + 72 = 12
(* +8)(x + 9) = 12
12 + 173 + 72 = 12
12 +177 +60 = 0
(1 +5)(+12) = 0
12 +177 + 72 = 12
12 + 171 = -60
*(x +17) = -60
= -60
1 +8 = 12
and
I +9 = 12
+5 = 0
and
1 +12 = 0
and
1 +17
-60
The equation was solved correctly by
. The solutions of the equation are

Answer 1

Answer:

Keith solve the equation correctly

Step-by-step explanation:

x² + 17x + 72 = 12 ( subtract 12 from both sides )

x² + 17x + 60 = 0 ← in standard form

Consider the factors of the constant term (+ 60) which sum to give the coefficient of the x- term (+ 17)

The factors are + 12 and + 5 , since

12 × 5 = 60 and 12 + 5 = 17 , then

(x + 12)(x + 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 12 = 0 ⇒ x = - 12

x + 5 = 0 ⇒ x = - 5

The solutions of the equation are x = - 12, x = - 5