Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Consider the function f (x) = x (x+3)(x – 4).
What are the zeros of the function?

Sagot :

absor201

Answer:

The solutions are:

[tex]x=0,\:x=-3,\:x=4[/tex]

Step-by-step explanation:

Given the function

[tex]f(x) = x(x+3)(x - 4)[/tex]

In order to determine the zeros of the function, we substitute f(x) = 0

[tex]0\:=\:x\left(x+3\right)\left(x\:-\:4\right)[/tex]

switch sides

[tex]x\left(x+3\right)\left(x-4\right)=0[/tex]

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

[tex]x=0\quad \mathrm{or}\quad \:x+3=0\quad \mathrm{or}\quad \:x-4=0[/tex]

Thus,

x = 0

and solving x + 3 = 0

x + 3 = 0

subtracting 3 from both sides

x + 3 - 3 = 0 - 3

x = -3

and solving x - 4 = 0

x - 4 = 0

x - 4 + 4 = 0 + 4

x = 4

Therefore, the solutions are:

[tex]x=0,\:x=-3,\:x=4[/tex]

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.