Type of Zeros
Writing Polynomials
Finding Zeros
Division, Rational Zero Theorems, & Random
Factoring
100
The irrational zeros are: √5, √4, -2/3, 1/6, 2+i
√5, 2+i
100
Write a polynomial function of least degree that has rational coefficients, a leading coefficient of 1, with the given zeros -4, 1, and 5.
What is f(x)=x^3 - 2x^2 - 19x +20
100
The zeros of the polynomial f(x)= 3x^2 + 17x - 6 are:
What is - 6 and 1/3
100
Divide (x^2+9) ÷ (x - 3)
What is x+3 + 18/(x-3)
100
The factored form of the polynomial is: f(x)=6x^3 + 4x^2 - 24x - 16
What is 2(x + 4)(x - 4)(3x +2)
200
Provide an example of a rational and an irrational number.
What is (multiple answers)....
200
Write a polynomial function of least degree that has rational coefficients, a leading coefficient of 1, with the given zero 5i.
What is f(x)= x^2 + 25
200
NO USE OF CALCULATOR for this problem. If a factor of the polynomial (x - 2), then ALL of the zeros of the polynomial f(x)=x^3 - 4x^2 - 11x +30 are:
What is 2, -3, 5
200
The number of possible rational zeros for the function is f(x) = 2x^5 - 8x^3 + 10x - 10
What is 12
200
The factored form of the polynomial is : f(x)= 8x^3 - 1000
What is (2x - 3)(4x^2 + 20x +100)
300
The following set contains all irrational numbers. -2i , √7, 9, 5-10i, √30 True or False. State why.
False, 9 is a rational number.
300
Write a polynomial function of least degree that has rational coefficients, a leading coefficient of -2, with the given zeros 3 and -9.
What is f(x)= -2x^2 -12x + 54
300
ALL of the zeros of the polynomial f(x)= 2x^5 - 12x^3 + 10x are:
What is 0, 1, -1, √5, -√5
300
Determine if the following are possible rational zeros of the function: f(x) = 8x^5 - 8x^3 + 10x - 20  -1/5 1/4 5/2 -4/5
What is no, yes, yes, no.
300
Factor 2x^4 - 4x^2 - 6
What is 2(x^2 +1)(x^2 - 3)
400
Identify the real irrational number from the set. -2, i√3, 9, √3, -3/2, 9i/2
√3
400
Write a polynomial function of least degree that has rational coefficients, a leading coefficient of 3, with the given zeros -2 and √7.
What is f(x)=3x^3 + 6x^2 - 21x - 42
400
If one factor of the polynomnial below is (x - 3) f(x) = x^5 - 3x^4 - 5x^3 + 15x^2 + 4x - 12 then write the polynomial in linear factorization form.
What is f(x) = (x - 3)(x - 1)(x + 1)(x - 2)(x + 2).
400
Divide (7x^3 + 11x^2 + 7x + 5) ÷ (x^2 + 1)
What is 7x^ + 11 + (-4x+1) / (x^2 + 1)
400
Factor 4x^8 - 64
What is 4(x^4 +4)(x - 2)(x + 2)
500
Is it possible for a polynomial to contain ONLY and EXACTLY the following zeros? 4, -7+3i, -2+√13 , -2-√13, -4, 7 - 3i
No, because there is a set of imaginary zeros that are not a pair. -7+3i would be paried with -7-3i just as 7 - 3i would be paired with 7 + 3i The irrational part of the quantity is the ONLY sign difference.
500
Write a polynomial function of least degree that has rational coefficients, a leading coefficient of 1, with the given zeros 5+i and √3.
What is f(x)= x^4 - 10x^3 + 23x^2 + 30x - 78
500
NO USE OF CALCULATOR for this problem. If a factor of the polynomial (2x - 5), then ALL of the zeros of the polynomial f(x)=2x^4 - x^3 - 42x^2 + 16x +160 are:
What is 5/2, - 4, -2, 4
500
ALL PLAY DOUBLE JEOPARDY!! Each group needs a textbook.
Ms. Ralston will go over this one! :)
500
You receive a free 500 points if only you can answer the following TRIVIA Question: In what state was President Barrack Obama born in?
What is Hawaii
M
e
n
u