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Complete the statement. The polynomial function f(x) = ____. (x + 2)(x - 2)(x + ) (x + 2)(x + )(x - ) (x - 2)(x + )(x - ) (x + 2)(x - 2)(x + )(x - ).

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The factorised form of given function f(x) is (x + 2)(x +√3)(x-√3)

Describe a polynomial.

A mathematical expression that contains at least two terms with variables or integers is referred to as a polynomial. A polynomial may include several terms.

We have been given the polynomial function:

⇒ x³ + 2x² - 3x -6

Simplify the radical by breaking the radicand up into a product of known factors.

⇒ x³ + 2x² - 3x -6

Add and subtract the second term to the expression and factor by grouping.

⇒ x²(x + 2) - 3(x + 2)

⇒ (x + 2)(x² - 3)

⇒ (x + 2)(x +√3)(x-√3)

Therefore, the factorised form of given function f(x) is (x + 2)(x +√3)(x-√3).

Learn more about the polynomials here:

brainly.com/question/11536910

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