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Write f(x) = (2x-1)(x-1)^2(x+3) in standard form.

A) f(x) = 2x^4 - x^3 + 2x^2 - 2x
B) f(x) = 2x^4 - 2x^2 + x^3 - 2x
C) f(x) = x^4 + x^3 - 2x^2 - 2x
D) f(x) = x^4 - x^3 + 2x^2 - 2x

1 Answer

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Final answer:

The function f(x)= (2x-1)(x-1)²(x+3) needs to be written in standard form. Expanding and simplifying, the function is f(x) =2x4 - x³ + 2x² - 2x. The correct option is A)

Step-by-step explanation:

The given function f(x)= (2x-1)(x-1)²(x+3) needs to be written in standard form.

To do this, we need to expand and simplify the given function.

Expanding and simplifying, we get f(x) = 2x4 - x³ + 2x² - 2x.

Therefore, the function is written in standard form and the correct option is A) f(x) =2x4 - x³ + 2x² - 2x.

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