Synthetic Division and the Remainder Theorem

Question 1

There are two roots because of the X negative radicand.nonperfect square radicand.✔ need to identify + and - roots of the radicand.

Revolt · Accepted Answer

✔ need to identify + and - roots of the radicand.

Question 2

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.

Revolt · Accepted Answer

3

Question 3

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

Revolt · Accepted Answer

2

Question 4

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

Revolt · Accepted Answer

4

Question 5

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

Revolt · Accepted Answer

touches

Question 6

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).

Revolt · Accepted Answer

touches

Question 7

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

Revolt · Accepted Answer

crosses

Question 8

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).

Revolt · Accepted Answer

crosses

Question 9

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).

Revolt · Accepted Answer

crosses

Question 10

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

Revolt · Accepted Answer

2

Synthetic Division and the Remainder Theorem Answers