Writing Polynomial Functions from Complex Roots

Question 1

Write an equation for the cubic polynomial function shown. To find the equation of the function, first find the of the graph.

Revolt · Accepted Answer

C: zeroes

Question 2

What are the zeroes of the function?

Revolt · Accepted Answer

C: 2; D: 3; E: 5

Question 3

Write an equation for the cubic polynomial function whose graph has zeroes at 2, 3, and 5. Write the polynomial function for the graph.f(x) = (x – 2)(x – 3)(x – 5)Simplify the right side. What is the equation?

Revolt · Accepted Answer

B: f(x) = x3 – 10x2 + 31x – 30

Question 4

Suppose the graph of a cubic polynomial function has the same zeroes and passes through the coordinate (0, –5).Write the equation of this cubic polynomial function. Recall that the zeroes are (2, 0), (3, 0), and (5, 0). What is the y-intercept of this graph?

Revolt · Accepted Answer

A: –5

Question 5

Now, suppose one of the roots of the polynomial function is irrational. The roots of the function are 2, , and 5. Write the equation for this polynomial function. Which of the following must also be a root of the function?

Revolt · Accepted Answer

B: mc001-2.jpg

Question 6

Question 6

Revolt · Accepted Answer

: 9; : 25; : 25

Question 7

Now, suppose one of the roots of the polynomial function is complex. The roots of the function are 2 + i, and 5. Write the equation for this polynomial function. Which of the following must also be a root of the function?–3–52 – i2i

Revolt · Accepted Answer

C: 2 – i

Question 8

f(x) = x3 − [___]x2 + [___]x − [___]

Revolt · Accepted Answer

9

Question 9

Question 9

Revolt · Accepted Answer

B

Question 10

The linear factors of the cubic are .

Revolt · Accepted Answer

A: (x – 2)(x – 3)(x – 5)

Writing Polynomial Functions from Complex Roots Answers

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