Use the Zero-Factor Property to solve the equation below. $28 ( a + 5 ) ( a - 7 ) = 0$
A) $5 , - 7$
B) $- 5,7$
C) $28,7$
D) $28 , - 5$
E) $5,7$

Question

Quizplus · Accepted Answer

The Zero-Factor Property states that if the product of two or more factors is equal to zero, then at least one of the factors must be zero. Therefore, we set each factor equal to zero and solve for the variable:

a + 5 = 0 or  a - 7 = 0

Solving each equation, we get:

a = -5 or a = 7

Therefore, the solutions are a = -5 and a = 7, which corresponds to choice B.

Use the Zero-Factor Property to Solve the Equation Below 28(a+5)(a−7)=028 ( a + 5 ) ( a - 7 ) = 028(a+5)(a−7)=0

Use the Zero-Factor Property to Solve the Equation Below $28 ( a + 5 ) ( a - 7 ) = 0$