Respuesta :
Answer:
x^2+6x+5
Step-by-step explanation:
If the zeros are -1 and -5, then the equation factored is (x+1)(x+5). If you multiply that out you get x^2+6x+5.
The required equation is x² +6x + 5 = 0
What is a function?
A mathematical relationship from a set of inputs to a set of outputs is called a function.
What are equations?
An equation is a mathematical statement which equate two algebraic expressions. An equation has an equal to (=) sign in between the expression.
What are called zeros of function ?
The points where the graph cuts the x-axis is called its zeros.
How to know the equation that could represent function?
According to the problem,
- The zeros of function are -1 and -5.
So, the graph cuts the x-axis at points -1 and -5
∴ The equation can be represented as (x+1)(x+5) = 0
⇒ x² +6x + 5 = 0
Clearly, this equation cuts the x-axis at given points.
Find more about "Functions" here: : brainly.com/question/4025726
#SPJ2
