Answer :

The standard form of f(x) = (2x+1)(x-3) is f(x) = [tex]2x^{2}[/tex]-5x+3.

According to the question,

We have the following expression:

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

Now, to convert this into standard form we will multiply each term of the first bracket into the two terms of the second bracket. We know that the numbers with the same variables can only be added and subtracted.

f(x) = [tex]2x^{2}[/tex] -6x+x-3

(We know that when a number is greater than the other one then the sign of the greater number is placed in subtraction.)

f(x) = [tex]2x^{2}[/tex]-5x+3

Hence, the standard form of  f(x) = (2x+1)(x-3)  is f(x) = [tex]2x^{2}[/tex]-5x+3.

To know more about standard form here

https://brainly.com/question/12452575

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