4.5

Question 1

If factoring isn’t possible, what can you use?

Answer 1

The quadratic formula

Question 2

Multiplicity meaning

Answer 2

The power that a binomial is raised to
Ex: (x-2)² - Multiplicity of 2
(x-1) - Multiplicity of 1

Question 3

If a problem has odd multiplicity, what does the graph do?

Answer 3

The line passes through the x-intercept

Question 4

If a problem has even multiplicity, what does the graph do?

Answer 4

The line bounces off of the x-intercept

Question 5

Degree: Odd
Leading Coefficient: Positive

Answer 5

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Question 6

Degree: Even
Leading Coefficient: Negative

Answer 6

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Question 7

Degree: Even
Leading Coefficient: Positive

Answer 7

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Question 8

Degree: Odd
Leading Coefficient: Negative

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Answer 8

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Question 9

How to find the y-intercept

Answer 9

Plug 0 into all of the x’s, solve and whatever is left is the y-int.

Question 10

What is a p/q list?

Answer 10

Plus and minus all of the factors of the constant term (last term)/All of the factors of the leading coefficient (first term)

Question 11

How to find the number of possible solutions?

Answer 11

The degree

Question 12

How to find the number of turns in a graph?

Answer 12

The degree - 1

Question 13

Steps to find all of the real solutions of the equation

Answer 13

1. Factor out a GCF if possible
2. If you can factor, find the zeros
3. Make a p/q list
4. Test different values from the list using synthetic division
5. Repeat until you have a quadratic or something you can factor
6. Find the zeros

Question 14

How to graph

Answer 14

1. Find end behavior
2. Plot all zeros as x-intercepts and plot the y-intercept
3. Find multiplicity
4. Draw the line and use all of the rules

Question 15

How to write a polynomial function using just whole numbers

Answer 15

Take the opposite sign of the number and add it (positive number) subtract it (negative number) from x.
Multiply until there is a polynomial

Question 16

How to write a polynomial using square roots

Answer 16

1. Set up the problem by subtracting x from the positive square root and the negative square root.
2. Draw parentheses around the square root and distribute the negative
3. Multiply every term by one another
4. Simplify and multiply by other polynomials/binomials in the problem