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Polynomial Basics
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Polynomial Graphs
Potpourri
100
Can a linear expression (3x + 1) be considered a polynomial?
Yes
100

How many games have the Jets lost this season?

0

100
What word is used to describe the shape of a quadratic polynomial graph?
Parabola
100
True or false: All constant functions are polynomials.
True
200
What term is used to classify the polynomial based on the highest value of its variable?
Degree
200

What is the capital of Vietnam

Hanoi

200
Functions that have a general "S" type shape will be polynomials of what type of degree?
Odd degree
200
How many times will a polynomial graph with no real solutions cross the x-axis?
None
300
In the polynomial 4x^2 + 3x - 1, 4 is considered the...
Leading coefficient
300

What do you call a group of ravens?

Unkindness

300

Polynomial functions of even degree have what end behaviour?

Q1 to Q2

300

What is the remainder when 2x^3 +7x^2 -18x +3 is divided by (x-1)?

-6

400
Give an example of a fifth degree polynomial with three terms.
Answers may vary; Dan will judge
400

What did Romans use to remove stains from clothing?

Urine

400
Sketch an example of a fifth degree polynomial function with two real roots.
Answers may vary; Dan to judge
400

Name all possible roots of x^4 +4x^2 - 45

+/- 1, 3, 5, 9, 15, 45

500

Name 5 characteristics of Polynomial Functions

Multiplicity, domain/range, intercepts, number of turns, end behaviour, leading coefficient, degree
500

How many witches are in a coven?

13

500
Draw a polynomial graph that could match the polynomial function: f(x) = (x-4)(x+2)(x^2+1)
Answers may vary; any quartic function with zeroes at x=4 and x=-2 may suffice (Dan to judge)
500

Factor fully 2x^3 + 5x^2 x -2

(2x-1)(x+2)(x+1)