1. Find a polynomial of degree 3 whose zeros are -4, -1, 2 and y intercept 16.

Algebra and Trigonometry (6th Edition)
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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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1. Find a polynomial of degree 3 whose zeros are -4, -1, 2 and y intercept 16.
2. Find a polynomial of degree 5 whose zeros are -4, 2, 0 (multiplicity 3) and contains the point (-2, 64).
3. Find a polynomial of degree 4 whose coefficients are real numbers and that has the zeros 1, 2 and -4 +i.
4. Find all the zeros of (x)= x - x - 4x +8x - 32x+ 48 by using synthetic division. Write f(x) in
factored form.
5. Find all the zeros of f(x)= 2x' + 2x' -11x +x-6 by using synthetic division. Write f(x) in
factored form.
x* (3+ x) (x+ 4)
6. Solve the inequality
20 algebraically and graph the solution set.
(x+5)(x-1)
(3-x)' (2x+1)
7. Solve the inequality
<0 algebraically and graph the solution set.
x -1
Transcribed Image Text:1. Find a polynomial of degree 3 whose zeros are -4, -1, 2 and y intercept 16. 2. Find a polynomial of degree 5 whose zeros are -4, 2, 0 (multiplicity 3) and contains the point (-2, 64). 3. Find a polynomial of degree 4 whose coefficients are real numbers and that has the zeros 1, 2 and -4 +i. 4. Find all the zeros of (x)= x - x - 4x +8x - 32x+ 48 by using synthetic division. Write f(x) in factored form. 5. Find all the zeros of f(x)= 2x' + 2x' -11x +x-6 by using synthetic division. Write f(x) in factored form. x* (3+ x) (x+ 4) 6. Solve the inequality 20 algebraically and graph the solution set. (x+5)(x-1) (3-x)' (2x+1) 7. Solve the inequality <0 algebraically and graph the solution set. x -1
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