Asked by Simon Sazian on May 17, 2024
Verified
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
A) 5,−75 , - 75,−7
B) −5,7- 5,7−5,7
C) 28,728,728,7
D) 28,−528 , - 528,−5
E) 5,75,75,7
Zero-Factor Property
The rule stating if a product of two or more factors is zero, at least one of the factors must be zero.
Equation
A pronouncement in mathematics asserting the equivalence of two expressions.
- Address polynomial equations by leveraging the Zero-Factor Property.
Verified Answer
HE
Hazel Exo88May 18, 2024
Final Answer :
B
Explanation :
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.
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.
Learning Objectives
- Address polynomial equations by leveraging the Zero-Factor Property.