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10G (2.4) PART 1 Introduction to Polynomials

10G (2.4) PART 1 Introduction to Polynomials

Assessment

Presentation

•

Mathematics

•

10th Grade

•

Practice Problem

•

Hard

Created by

Asher Katz

FREE Resource

5 Slides • 43 Questions

1

Solving Binomials by factoring
Part 1
​(2.4)

2

This is a Polynomial. Poly means "many". It has many levels of x. These levels are called "degrees"

3

4

5

Multiple Choice

What degree is the following polynomial:

x2 +5x+4=0x^{2\ }+5x+4=0

1

First Degree

2

Second Degree

3

Third Degree

4

Fourth Degree

5

Fifth Degree

6

Multiple Choice

What degree is the following polynomial:

x2 +7x+1=0x^{2\ }+7x+1=0

1

First Degree

2

Second Degree

3

Third Degree

4

Fourth Degree

5

Fifth Degree

7

Multiple Choice

What degree is the following polynomial:

x2 −7x−7=0x^{2\ }-7x-7=0

1

First Degree

2

Second Degree

3

Third Degree

4

Fourth Degree

5

Fifth Degree

8

Multiple Choice

What degree is the following polynomial:

4x2 +5x−9=04x^{2\ }+5x-9=0

1

First Degree

2

Second Degree

3

Third Degree

4

Fourth Degree

5

Fifth Degree

9

Multiple Choice

What degree is the following polynomial:

2x2 −9x=92x^{2\ }-9x=9

1

First Degree

2

Second Degree

3

Third Degree

4

Fourth Degree

5

Fifth Degree

10

Multiple Choice

What degree is the following polynomial:

x2 +4=4xx^{2\ }+4=4x

1

First Degree

2

Second Degree

3

Third Degree

4

Fourth Degree

5

Fifth Degree

11

Multiple Choice

What degree is the following polynomial:

2x3+3x2+4=02x^3+3x^2+4=0

1

First Degree

2

Second Degree

3

Third Degree

4

Fourth Degree

5

Fifth Degree

12

Multiple Choice

What degree is the following polynomial:

2x3+4x=02x^3+4x=0

1

First Degree

2

Second Degree

3

Third Degree

4

Fourth Degree

5

Fifth Degree

13

Multiple Choice

What degree is the following polynomial:

2x2+10=02x^2+10=0

1

First Degree

2

Second Degree

3

Third Degree

4

Fourth Degree

5

Fifth Degree

14

Multiple Choice

What degree is the following polynomial:

2x2+4=202x^2+4=20

1

First Degree

2

Second Degree

3

Third Degree

4

Fourth Degree

5

Fifth Degree

15

Multiple Choice

What degree is the following polynomial:

11x−9=2011x-9=20

1

First Degree

2

Second Degree

3

Third Degree

4

Fourth Degree

5

Fifth Degree

16

Multiple Choice

What degree is the following polynomial:

11x−9+10+2⋅3=6011x-9+10+2\cdot3=60

1

First Degree

2

Second Degree

3

Third Degree

4

Fourth Degree

5

Fifth Degree

17

Multiple Choice

What degree is the following polynomial:

11x−4−3x=6011x-4-3x=60

1

First Degree

2

Second Degree

3

Third Degree

4

Fourth Degree

5

Fifth Degree

18

Multiple Choice

What degree is the following polynomial:

4x3+4x2+4x +4 = 14x^3+4x^2+4x\ +4\ =\ 1

1

First Degree

2

Second Degree

3

Third Degree

4

Fourth Degree

5

Fifth Degree

19

Multiple Choice

What degree is the following polynomial:

4x4+4x3+4x2+4x +4 = 14x^4+4x^3+4x^2+4x\ +4\ =\ 1

1

First Degree

2

Second Degree

3

Third Degree

4

Fourth Degree

5

Fifth Degree

20

Multiple Choice

What degree is the following polynomial:

4x5 +4x4+4x3+4x2+4x +4 = 14x^{5\ }+4x^4+4x^3+4x^2+4x\ +4\ =\ 1

1

First Degree

2

Second Degree

3

Third Degree

4

Fourth Degree

5

Fifth Degree

21

Multiple Choice

What degree is the following polynomial:

4x4+4 = 14x^4+4\ =\ 1

1

First Degree

2

Second Degree

3

Third Degree

4

Fourth Degree

5

Fifth Degree

22

Multiple Choice

What degree is the following polynomial:

6x5+4x2 = 16x^5+4x^2\ =\ 1

1

First Degree

2

Second Degree

3

Third Degree

4

Fourth Degree

5

Fifth Degree

23

Multiple Choice

What degree is the following polynomial:

x4−8x = 0x^4-8x^{ }\ =\ 0

1

First Degree

2

Second Degree

3

Third Degree

4

Fourth Degree

5

Fifth Degree

24

Multiple Choice

What degree is the following polynomial:

3x2+4x2 −7x −8=03x^2+4x^{2\ }-7x\ -8=0

1

First Degree

2

Second Degree

3

Third Degree

4

Fourth Degree

5

Fifth Degree

25

Multiple Choice

What degree is the following polynomial:

5x2−8=7x5x^2-8=7x

1

First Degree

2

Second Degree

3

Third Degree

4

Fourth Degree

5

Fifth Degree

26

Multiple Choice

What degree is the following polynomial:

7x3−5=2x7x^3-5=2x

1

First Degree

2

Second Degree

3

Third Degree

4

Fourth Degree

5

Fifth Degree

27

People use Polynomials often but there are many different ways to write the same polynomial. To keep everyone on the same page, Standard Form was invented.
​put the highest power first, then the second highest power...then the constant and set it equal to 0
​"a" , "b" , and "c" are constants, which means they are regular numbers WHICH DON'T CHANGE.

28

Multiple Choice

Which of the following is a constant?

1

k

2

x

3

y

4

3

5

c

29

Multiple Choice

Which of the following is a constant?

1

k

2

x

3

y

4

11

5

c

30

Multiple Choice

Which of the following is a constant?

1

k

2

x

3

y

4

99

5

c

31

Multiple Choice

Which of the following is a constant?

1

k

2

x

3

y

4

-7

5

c

32

Multiple Choice

Which of the following is a constant?

1

k

2

x

3

y

4

0

5

c

33

Multiple Select

Which of the following are a constant?

1

1

2

x

3

-1

4

0

5

c

34

Multiple Choice

Standard form is ax2+bx + c = 0ax^2+bx\ +\ c\ =\ 0

What is the value of the constant "c" in the polynomial x2+x−10=0x^2+x-10=0 ?

1

x2x^2

2

x

3

-10

4

10

5

1

35

Multiple Choice

Standard form is ax2+bx + c = 0ax^2+bx\ +\ c\ =\ 0

What is the value of the constant "c" in the polynomial 3x2+x+4=03x^2+x+4=0 ?

1

3x23x^2

2

x

3

4

4

-4

5

3

36

Multiple Choice

Standard form is ax2+bx + c = 0ax^2+bx\ +\ c\ =\ 0

What is the value of the constant "c" in the polynomial 2x2−5x+9=02x^2-5x+9=0 ?

1

2x22x^2

2

x

3

9

4

-5

5

2

37

Multiple Choice

Standard form is ax2+bx + c = 0ax^2+bx\ +\ c\ =\ 0

What is the value of the constant "c" in the polynomial 7x2−3x−8=07x^2-3x-8=0 ?

1

7x27x^2

2

x

3

-3

4

-8

5

2

38

Multiple Choice

Standard form is ax2+bx + c = 0ax^2+bx\ +\ c\ =\ 0

What is the value of the constant "a" in the polynomial 7x2−3x−8=07x^2-3x-8=0 ?

1

7x27x^2

2

-3x

3

-8

4

7

5

-3

39

Multiple Choice

Standard form is ax2+bx + c = 0ax^2+bx\ +\ c\ =\ 0

What is the value of the constant "a" in the polynomial 2x2−6x+8=02x^2-6x+8=0 ?

1

2x22x^2

2

-6x

3

8

4

-6

5

2

40

Multiple Choice

Standard form is ax2+bx + c = 0ax^2+bx\ +\ c\ =\ 0

What is the value of the constant "a" in the polynomial x2+2x+3=0x^2+2x+3=0 ?

1

x2x^2

2

2x

3

3

4

1

5

2

41

Multiple Choice

Standard form is ax2+bx + c = 0ax^2+bx\ +\ c\ =\ 0

What is the value of the constant "b" in the polynomial x2+2x+3=0x^2+2x+3=0 ?

1

x2x^2

2

2x

3

3

4

1

5

2

42

Multiple Choice

Standard form is ax2+bx + c = 0ax^2+bx\ +\ c\ =\ 0

What is the value of the constant "b" in the polynomial 3x2−4x+8=03x^2-4x+8=0 ?

1

3x23x^2

2

-4x

3

3

4

-4

5

8

43

Multiple Choice

Standard form is ax2+bx + c = 0ax^2+bx\ +\ c\ =\ 0

What is the value of the constant "b" in the polynomial 2x2−x+4=02x^2-x+4=0 ?

1

2x22x^2

2

-x

3

2

4

-1

5

4

44

Multiple Choice

Standard form is ax2+bx + c = 0ax^2+bx\ +\ c\ =\ 0

What is the value of the constant "b" in the polynomial 2x2−x=−42x^2-x=-4 ?

1

2x22x^2

2

-x

3

2

4

-1

5

4

45

Multiple Choice

Standard form is ax2+bx + c = 0ax^2+bx\ +\ c\ =\ 0

What is the value of the constant "a" in the polynomial x2+4=2xx^2+4=2x ?

1

x2x^2

2

2x

3

2

4

1

5

4

46

Multiple Choice

Standard form is ax2+bx + c = 0ax^2+bx\ +\ c\ =\ 0

What is the value of the constant "b" in the polynomial x2+4=2xx^2+4=2x ?

1

x2x^2

2

-2

3

2

4

1

5

4

47

Multiple Choice

Standard form is ax2+bx + c = 0ax^2+bx\ +\ c\ =\ 0

Arrange the following Polynomial into standard form:

2x2=3x+52x^2=3x+5

1

2x2+3x+5=02x^2+3x+5=0

2

2x2 −3x−5=02x^{2\ }-3x-5=0

3

2x2+3x = 42x^2+3x\ =\ 4

4

x2+3x + 4x^2+3x\ +\ 4

5

2x2 +3x =52x^{2\ }+3x\ =5

48

Multiple Choice

Standard form is ax2+bx + c = 0ax^2+bx\ +\ c\ =\ 0

Arrange the following Polynomial into standard form:

x2−3x=6x^2-3x=6

1

x2−3x−6=0x^2-3x-6=0

2

x2−3x+6=0x^2-3x+6=0

3

x2−3x=0x^2-3x=0

4

x2−x−6=0x^2-x-6=0

5

x2−6x+1=0x^2-6x+1=0

pattern-tertiary
Solving Binomials by factoring
Part 1
​(2.4)

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