Writing Polynomial Functions from Complex Roots

Question 1

Suppose the graph of a cubic polynomial function has the same zeroes and passes through the coordinate (0, –5).Describe the steps for writing the equation of this cubic polynomial function.

Revolt · Accepted Answer

Use the zeroes to determine the roots. Write the polynomial as a product of the leading coefficient, a, and the factors, where each factor is x minus a root. Use the y-intercept (0, –5) to solve for the leading coefficient. Substitute the leading coefficient into the polynomial function for a and simplify.

Question 2

Which of the following did you include in your description?

Revolt · Accepted Answer

Use the zeroes to determine the roots.; Write the polynomial as a product of the leading coefficient, a, and the factors, where each factor is x minus a root.; Use the y-intercept (0, –5) to solve for the leading coefficient.; Substitute the leading coefficient into the polynomial function for a and simplify.

Question 3

Question 23

Revolt · Accepted Answer

7

Question 4

Question 24

Revolt · Accepted Answer

21

Question 5

Question 25

Revolt · Accepted Answer

30

Question 6

Question 26

Revolt · Accepted Answer

25

Question 7

Question 27

Revolt · Accepted Answer

25

Writing Polynomial Functions from Complex Roots Answers

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