The Fundamental Theorem of Algebra Answers

g(x) = 5x - 12x2 + 3

f (x) = (3x4 + 1)2

g(x) = (x - 5)2 + 2x3

f (x) = 3x6 + 2x5 + x4 - 2x3

f (x) = (x + 1)(x - 3)(x - 4)

f (x) = (x - 6)2(x + 2)2

f (x) = (x + 5)3(x - 9)(x + 1)

f (x) = (x + 2)(x - 1)[x - (4 + 3i)][x - (4 - 3i)]

Find the root(s) of f (x) = (x- 6)2(x + 2)2.

Find the root(s) of f (x) = (x + 5)3(x - 9)2(x + 1).

Describe the graph of the function at its roots. f(x) = (x − 2)3(x + 6)2(x + 12) At x = 2, the graph the x–axis. At x = −6, the graph the x–axis. At x = −12, the graph the x–axis.

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g(x) = (x + 4)4(x − 9) At x = −4, the graph the x–axis. At x = 9, the graph the x–axis.

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If you know a root of a function is , then _____.