The Fundamental Theorem of Algebra Answers

Describe the graph of the function at its roots.

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

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

g(x) = (x + 4)4(x − 9)

At x = 9, the graph the x–axis.

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

f (x) has two real roots and one imaginary root.f (x) has three real roots.f (x) has five real roots.f (x) has three real roots and two imaginary roots.

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

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

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

Identify all of the root(s) of g(x) = (x2 + 3x - 4)(x2 - 4x + 29).

crossesdoes not intersect✔ touches

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

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

At x = 2, the graph the x–axis.

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

At x = −12, the graph the x–axis.

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

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