The Fundamental Theorem of Algebra Answers

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

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

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

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

✔ crossesdoes not intersecttouches

f (x) = (x + 1)(x - 3)(x - 4) ⇒ 3

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

f (x) = (x + 1)(x - 3)(x - 4) ⇒ 3

Describe the graph of the function at its roots.

Describe the graph of the function at its roots.

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.

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

f (x) = (x - 6)2(x + 2)2 ⇒ 4

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

f (x) = (x - 6)2(x + 2)2 ⇒ 2

crossesdoes not intersect✔ touches

f (x) = (x + 5)3(x - 9)(x + 1) ⇒ 5

f (x) = (x + 5)3(x - 9)(x + 1) ⇒ 3

✔ crossesdoes not intersecttouches