The Binomial Theorem

Question 1

Which of the number(s) below are potential roots of the function?p(x) = x4 + 22x2 – 16x – 12

Revolt · Accepted Answer

±6; ±1; ±3

Question 2

Which of the number(s) below are potential roots of the function?q(x) = 6x3 + 19x2 – 15x – 28

Revolt · Accepted Answer

mr002-1.jpg; mr002-2.jpg; ±14

Question 3

Using the section of the graph shown, which of these potential roots of the function should you test first?f(x) = 2x3 – 9x2 – 6x + 40

Revolt · Accepted Answer

–2

Question 4

According to the rational root theorem, the numbers below are some of the potential roots of f(x) = 10x3 + 29x2 – 66x + 27. Select all that are actual roots.

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/EVresources/3111-06-04-20-03-task/mr001-1.jpg; Answer image: https://media.edgenuity.com/EVresources/3111-06-04-20-03-task/mr001-3.jpg; 1

Question 5

0±2±4 ±9±3±6 ±12

Revolt · Accepted Answer

±2; ±4; ±3; ±6; ±12

Question 6

Evaluate the function for the given values to determine if the value is a root. p(−2) = p(2) = The value is a root of p(x).

Revolt · Accepted Answer

Part 1: 0; Part 2: -16; 0

Question 7

Question 7

Revolt · Accepted Answer

-16

Question 8

–16✔ –202

Revolt · Accepted Answer

–2

Question 9

f(x) = 4x2 − 25 g(x) = 4x2 + 25 h(x) = 3x2 − 25

Revolt · Accepted Answer

Yes.; Selection 1: Yes.; Selection 2: No, this polynomial has complex roots.; Selection 3: No, this polynomial has irrational roots.

Question 10

Question 34

Revolt · Accepted Answer

No, this polynomial has complex roots.

The Binomial Theorem Answers

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