1. Write a third degree polynomial function with integer coefficients that has zeroes x = 1 and x = i√2. [You may not leave the function in factore form.]

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
1.
2.
3.
Write a third degree polynomial function with integer coefficients that
has zeroes x = 1 and x = i√2. [You may not leave the function in factore
form.]
5.
Give a rational function that has the given graph.
[You may leave the function in factored form.]
-5
x³ > 2x² + 8x.
-10-
-5
0
6. f(x) = (x+3)²(x - 2)².
-5
Solve. For inequalities, answer in interval form. Complex numbers may arise.
-10+
3x4 13x³ + 12x² + 12x - 16 = 0.
5
4.
10
7. f(x) =
(x+4)(x-5)
x(x-2)
Sketch the graphs of the following functions. Label all intercepts, asymptotes
and holes.
≤0.
4(x-2)(x-5)
(x+3)(x-5)*
Transcribed Image Text:1. 2. 3. Write a third degree polynomial function with integer coefficients that has zeroes x = 1 and x = i√2. [You may not leave the function in factore form.] 5. Give a rational function that has the given graph. [You may leave the function in factored form.] -5 x³ > 2x² + 8x. -10- -5 0 6. f(x) = (x+3)²(x - 2)². -5 Solve. For inequalities, answer in interval form. Complex numbers may arise. -10+ 3x4 13x³ + 12x² + 12x - 16 = 0. 5 4. 10 7. f(x) = (x+4)(x-5) x(x-2) Sketch the graphs of the following functions. Label all intercepts, asymptotes and holes. ≤0. 4(x-2)(x-5) (x+3)(x-5)*
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