Semester Exam Review #2 Algebra 3 And Trigonometry (Page 3 of 4) in pdf

Semester Exam Review #2 Algebra 3 And Trigonometry Page 3

Name ____________________________

Date _____________

Factor completely.

10.

- 125

11.

– 64

12.

Write a polynomial function of degree 5 that has zeros at x = 0 and x = -4.

(You do not need to write it in standard form.)

13.

State the degree of the function and the sign of the leading coefficient.

14.

True or False? It is possible for a seventh-degree polynomial function with

integer coefficients to have no real zeros. Justify your reasoning.

15.

Find the constant c such that the denominator will divide

evenly into the numerator: x

– 2x

+ x + c

x + 2

16.

A polynomial of degree 5 whose coefficients are real numbers has the

zeros 3, -2 - √5, and -5 + i. Identify the remaining zeros.

Evaluate and write the result in standard form.

17.

(10 + √-18) – (-3 + 3i√2)

18.

(√-32)

19.

(-1 + 3i) + (-9 – 6i)

20.

6i + 2i

21.

(-8 + 4i)(5 – 7i)

22.

_-7 – i_

-7 – 7i

23.

Use synthetic division to find f(-4) for the function

f(x) = 2x

– 5x

– 8x + 20.

Semester Exam Review #2 Algebra 3 And Trigonometry Page 3