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Quarter 4 Week 1-Introduction to Polynomials (10.1.a)

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Last updated about 5 hours ago
17 questions
4
Question 1
1.

Match the term and its definition

  • An expression with three terms
6
1
Question 3
3.

I'm ready to get started!

10
Question 4
4.
Classify the following by their degree (highest power) and number of terms.

f(x)=12x+x^{3}
Term for the highest power: _______
Term for the number of terms: _______

f(x)=198
Term for the highest power: _______
Term for the number of terms: _______

f(x)=-7x^{2}-22x+3
Term for the highest power: _______
Term for the number of terms: _______

f(x)=22-10x
Term for the highest power: _______
Term for the number of terms:_______

f(x)=x^{2}
Term for the highest power:_______
Term for the number of terms:_______
1
Question 5
5.

I got my first screenshot for 10.1.a! **May not be in all pathways**

HINT: the blanks in this screenshot weren't able to be named with the polynomial vocab...

2
Question 6
6.

These are all examples of polynomial graphs. What similarities do you see? What differences do you see?

6
Question 7
7.
Find the degree (highest exponent) and leading coefficient (coefficient of the term with the highest exponent).

5x^{3}-2x^{2}
Degree: _______
Leading Coefficient: _______

-13x^{5}-4x^{4}-2x+5
Degree: _______
Leading Coefficient: _______

x^{2}-5x+6
Degree: _______
Leading Coefficient: _______
1
Question 8
8.

Ok so far?

1
Question 9
9.

Questions? Concerns? Comments?

5
Question 10
10.

Match the polynomial to its end behavior

  • y=-5x^{6}+4
1
Question 11
11.

I got my second screenshot for 10.1.a!

1
Question 12
12.

I understand this is the same content as above, but UP is replaced with \infin, DOWN, is replaced with -\infin, left is as x\rightarrow-\infin, and right is as x\rightarrow\infin

1
Question 13
13.

How many turning points does a quadratic function have?

1
Question 14
14.

How many turning points does a linear function have?

5
Question 15
15.
The MAXIMUM number of turning points for a:

Cubic binomial: _______
Quintic monomial: _______
Quadratic trinomial: _______
Linear binomial: _______
Quartic trinomial: _______
1
1
Question 17
17.

I got my last screenshot for 10.1.a!

Great work!
An expression with many terms (usually 4 or more)
An expression with two terms
An expression with one term
Monomial
Binomial
Trinomial
Polynomial
Question 2
2.

Match the term and its definition

  • The highest exponent in the expression is an x
y=5x+9
y=-2x^{3}-3x^{2}
y=-3x^{4}+4x^{3}-2
y=x^{2}-2x-3
Up to the left and down to the right
(Left UP, right DOWN)
Down to the left and up to the right
(Left DOWN, right UP)
Both UP
Both DOWN
Question 16
16.

How many turning points COULD the following function have?

f(x)=7x^{6}-2x^{5}+x^{3}-2

The highest exponent in the expression is x^{2}
The highest exponent in the expression is x^{3}
The highest exponent in the expression is x^{5}
The highest exponent in the expression is a number with no exponent attached.
The highest exponent in the expression is x^{4}
Constant
Linear
Quadratic
Cubic
Quartic
Quintic