Question

What is a root function of the polynomial function F(x)= x^3 + 3x^2 - 5x - 4

Answer 1

Explanation:

Factor by grouping.

f(x) = x³ + 3x² − 5x − 4

f(x) = x³ + 3x² − 4x − x − 4

f(x) = x (x² + 3x − 4) − (x + 4)

f(x) = x (x − 1) (x + 4) − (x + 4)

f(x) = (x² − x) (x + 4) − (x + 4)

f(x) = (x² − x − 1) (x + 4)

Answer 2

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