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
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