The Fundamental Theorem of Algebra Answers

For the single roots −1 and 2, the graph the x–axis at the intercepts.

For the double root 3, the graph the x–axis at the intercepts.

Describe the graph of the function g(x) = (x − 1)(x + 4)3(x + 5)2. The graph: the axis at (1, 0). the axis at (−4, 0). the axis at (−5, 0).

There are two roots because of the

Describe the graph of the function g(x) = (x − 1)(x + 4)3(x + 5)2. The graph: the axis at (1, 0). the axis at (−4, 0). the axis at (−5, 0).

A polynomial function has as a root. Which of the following must also be a root of the function?

Describe the graph of the function g(x) = (x − 1)(x + 4)3(x + 5)2. The graph: the axis at (1, 0). the axis at (−4, 0). the axis at (−5, 0).

Solve 2x2 + 26 = 0 to identify the roots.

When solving, you took the square root of both sides of the equation. Consider this step when completing the following statements. The roots are imaginary because of the

x =

Use the fundamental theorem of algebra to determine the number of roots for each polynomial function shown.f (x) = 2x3 + x2 - 7x + 1 has roots.

f (x) = -3x + 5x2 + 8 has roots.

f (x) = (x2 + 6)2 has roots.

h(x) = 2x2 + 26The fundamental theorem of algebra tells you that this polynomial function has roots.

This function has roots.

The actual roots ordered from least to greatest are and .

The actual roots ordered from least to greatest are and .

The function has real roots and imaginary roots.

The function has real roots and imaginary roots.