Chapter 4 First Quiz

Question 1

Pattern of Pascal’s Triangle

Answer 1

1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1

Question 2

How to solve a binomial with Pascal’s Triangle

Answer 2

Write ab
Write a with an exponent of the original exponent number
Write b with a zero exponent
Write a again but with an exponent 1 lower than the first
Write b again but with an exponent 1 higher than the first
** Make sure to multiply the corresponding number in the triangle by ab

Question 3

What are examples of non-polynomials

Answer 3

y=2^x (exponential)
y= 1/x (a graph that breaks)
y=|x| (absolute value)
y= x^-# (negative power)
y= √x

Question 4

What is a degree?

Answer 4

The highest power in the equation

Question 5

What is the leading coefficient?

Answer 5

The first term in the polynomial when it’s written in standard form
(The number in front of the term with the greatest exponent)

Question 6

How to classify polynomials by degree

Answer 6

0 Constant
1 Linear
2 Quadratic
3 Cubic
4 Quartic
5 Degree #

Question 7

How to classify polynomials by terms

Answer 7

1 Monomial
2 Binomial
3 Trinomial
4+ Polynomial

Question 8

Degree: Odd
Leading Coefficient: Positive

Answer 8

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↙|
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Question 9

Degree: Odd
Leading Coefficient: Negative

Answer 9

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↖ |
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Question 10

Degree: Even
Leading Coefficient: Positive

Answer 10

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↖ | ↗
____________
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Question 11

Degree: Even
Leading Coefficient: Negative

Answer 11

|
|
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____________
↙ | ↘
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Question 12

How do you subtract polynomials?

Answer 12

Distribute the negative and combine like terms

Question 13

How do you multiply polynomials?

Answer 13

Multiply every term on both sides

Question 14

True or False?
When combining like terms using Pascal’s Triangle, you square the number and also add the exponent in the final answer

Answer 14

True

Question 15

How to divide polynomials using synthetic division

Answer 15

1. Identify all coefficients
2. Identify k; x+# (WILL BE OPPOSITE x-#)
3. Set up chart
4. Drop the first coefficient
5. Multiply k and first coefficient
6. Add 2nd coefficient and new number (k and first coefficient multiplied)
7. Repeat

Question 16

True or false
You can use synthetic division for all numbers

Answer 16

False
You can only use synthetic division when dividing by a binomial

Question 17

What is a placeholder?

Answer 17

A 0x number to fill in for a coefficient that isn’t there
REMEMBER TO USE THEM
***Divide like normal

Question 18

How to divide a polynomial by a polynomial

Answer 18

1. Put the number on the left divided by the number on the right
2. Find what would multiply by the first term on the left to equal the first term in the middle
3. Multiply that by every term on the left and subtract
4. Drop down every term and repeat until there are no exponents left

Question 19

True or false the number on the left is the one under the division thing.

Answer 19

True
The number on the left is the one under the division thing

Question 20

Thing to remember

Answer 20

If the two numbers have the same amount of terms, you will have a single number as an answer.

Question 21

What has to be even or odd when finding end behavior of a function?

Answer 21

The degree

Question 22

What has to be negative or positive when finding the end behavior of a function?

Answer 22

The leading coefficient