mishell8201
Answered

Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

If f(x)=2x^2+x-3, which equation can be used to determine the zeros of the function?
A) 0=(2x-3)(x+1)
B) 0=(2x+3)(x-1)
C) 0=2x(x+1)-3
D) 0=2x(x-1)-3(x+1)​

Sagot :

maggielee724

Answer:

B) 0=(2x+3)(x-1)

Step-by-step explanation:

factor the equation f(x) = 2x² + x - 3

=> f(x) = (2x + 3)(x - 1)

Option B is correct.

What is zeros of a function?

A zero of a function is a member of x of the domain of f such that f(x) vanishes at x, that is the function f attains the value of 0 at x.

According to the given question

we have a function

[tex]f(x)=2x^{2} +x-3[/tex]

[tex]f(x)=2x^{2} + 3x-2x-3[/tex]

[tex]f(x)=2x^{2} -2x+3x-3[/tex]

[tex]f(x)=2x(x-1)+3(x-1)[/tex]

[tex]f(x)=(2x+3)(x-1)[/tex]

for finding the zeros of f(x), substitute f(x)=0

[tex](2x+3)(x-1)=0\\[/tex]

⇒ x=[tex]\frac{-3}{2}[/tex] and x=1

Hence, option B is used for finding the zeros of the given function f(x).

Learn more about the zeros of function here:

https://brainly.com/question/944636

#SPJ2

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.