Polynomial Functions
Polynomials, Linear Factors, and Zeros
Solving Polynomial Equations
Dividing Polynomials
Miscellaneous
100
Classify the polynomial by degree and number of terms.
5x^3
Cubic monomial
100
Find the zeros of the function.
y = (x - 4)(x + 5)
x = 4 and x = -5
100
Factor:
x^3 + 8
(x + 2)(x^2 - 2x + 4)
100
A polynomial P(x) is divided by a polynomial (x - a) and the remainder is 0. What conclusion can you draw?
(x - a) is a factor of P(x)
100
What was the first animal to ever be cloned?
Dolly the sheep
200
Classify the polynomial by degree and number of terms.
6x^2 + 4x - 2
Quadratic binomial
200
Find the zeros of the function. State the multiplicity of multiple zeros.
y = (x + 3)^2(2x - 5)
x = -3, multiplicity of 2
x = 5/2, mult of 1
200
Factor:
x^4 +7x^2 -18
(x^2 + 9)(x^2 - 2)
200
Divide using long division:
(3x^2 + 7x -20) /(x + 4)
3x - 5
200
Weighing around eight pounds, what is the human body's largest organ?
The skin!
300
Write the polynomial in standard form.
3x - 2x^3 + 5
-2x^3 + 3x + 5
300
Write a polynomial function with zeros -1, 0, and 2.
x^3 - x^2 - 2x
300
Factor
64b^3 - 27c^3
(4c - 3)(16c^2 + 12c +9)
300
Is (x + 2) a factor of
x^3 - 4x^2 + 6x - 4?
No, it is not a factor!
300
Which freezes faster, cold water or hot water?
Hot water, due to the Mpemba effect.
400
Describe the end behavior of
-2x^7 -8x
Up to the left and down to the right
400
Write the function in factored form.
3x^3 -27x^2 +24x
3x(x - 1)(x - 8)
400
Use Desmos to find the solutions:
2x^4 - 5x^3 - 3x^2 = 0
x = -1/2, x = 0, x = 3
400
Use synthetic division to divide
(x3 + 27) by (x + 3)x^2 + 3x + 9
400
Which popular condiment was once sold as a medicinal cure for diarrhea?
Ketchup
500
Can the graph of a polynomial function be a straight line? Explain.
Yes, if it's linear. Example: f(x) = 3x -1
500
Identify the zeros and the multiplicity of each zero.
x = 1 mult of 2
x = 3 mult of 1
500
The product of three consecutive integers is 210. What are the numbers?
5, 6, and 7
500
Use synthetic division to find P(-2)
P(x) =
x^3 + 7x^2 + 4x
12
500
What do you call a group of flamingos?
A flamboyance