Intro to Polynomials
What is a polynomial? (May give example if cannot think of definition)
Expressions that contain terms of constants and/or variables (2x+3, or 6y -1)
When adding polynomials you simplify by...
Adding like terms
What two intercepts do we look for when graphing a function?
y- intercept and x-intercept
What symbol do we use to notate end behavior?
Who in our class was on the football team this year?
B1: King
B6: Kaden
What is a degree? (may give example)
The largest exponent in a polynomial.
What is the first step in solving this problem:
(6x2 +4) - (-3x2 -2)
Distribute the negative:
(6x2 +4) + (3x2 +2)
What is another term for an x-intercept?
Zero, Root, Solution
If the degree is even the left and right sides of the graph go in the _______ direction.
Same.
How can you determine how many times a graph's direction will turn?
Degree - 1
What is the degree in this polynomial; 4x2 - 2x6 + 1
6
Simplify this polynomial expression:
(4b2 +5) + (3b2 -2)
7b2 +3
Which of these intercept is a y-intercept? Which is an x-intercept? How do you know?
(0,4)
(-3, 0)
Y-int: (0,4) because the x value is 0
X-int: (-3,0) because the y value is 0
If the degree is odd, the left and right end of the graph go in _______ directions.
Opposite.
What is a constant?
A number with no variable.
What are two ways (or forms) you can write polynomials in?
Standard form and Factored form
Convert the factored form to standard form:
(x+3)(x+2)
x2 +5x +6
What is the y-intercept in this polynomial?
4g - 6g4 + 8
(0,8)
The sign of the leading coefficient tells us the direction of the ______ side of the graph.
Right.
Ashley bought 3 bags of Hot Fries at the store, each bag was $2.23 (including taxes). If she hands the cashier a $10 bill how much change will she get back?
$3.31
What is the leading coefficient in this polynomial;
3y - 7y3 + 2
-7
How do you know if a polynomial division problem has a remainder?
If the number in the last box does not match the constant from the problem.
What are the x-intercepts/ solutions of this polynomial?
(x+4)(x-2)
(-4,0)
(2,0)
Sketch what this graph might look like
f(x) = -6x3 + 2x2 +1
Answer on board.
What's Ms. Casperson's first name?
Nicole