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2022 ALGEBRA 2 > DECK 1: POLYNOMIAL INTRO > Flashcards

DECK 1: POLYNOMIAL INTRO Flashcards

1
Q

What are other names for “solutions” of a polynomial function?

A

zeros, roots, x-intercepts

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2
Q

What are other names for “zeros” of a polynomial function?

A

roots, x-intercepts, solutions

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3
Q

What are other names for “roots” of a polynomial function?

A

zeros, x-intercepts, solutions

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4
Q

What are other names for “x-intercepts” of a polynomial function?

A

zeros, roots, solutions

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5
Q

What is the “degree of a polynomial?”

A

The degree is just the highest exponent

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6
Q

What is the “leading term of a polynomial?”

A

The leading term is the term that has the highest exponent. If in standard form, it is the first term.

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7
Q

What is a coefficient?

A

The number in front of a variable or variables. It tells you how many you have.

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8
Q

What is a variable?

A

It is a letter or symbol that is “standing in” for a number. It is like a “?”

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9
Q

What is an exponent?

A

It is the number up top. It tells you how many times you multiply the base by itself.

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10
Q

8x 2 what is the coefficient?

A

8

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11
Q

8x 2 what is the variable?

A

x

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12
Q

8x 2 what is the exponent?

A

2

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13
Q

What is name for third-degree polynomial?

A

CUBIC

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14
Q

What is name for fourth-degree polynomial?

A

QUARTIC

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15
Q

What is the name of a second-degree polynomial?

A

QUADRATIC

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16
Q

What is the name of a zero-degree polynomial?

A

CONSTANT

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17
Q

What is the name of a first-degree polynomial?

A

LINEAR

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18
Q

What is name for fifth-degreee polynomial?

A

QUINTIC

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19
Q

8x 2 what is the “8” called?

A

the coefficient

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20
Q

8x 2 what is the “x” called?

A

the variable (it is also the base of the exponent)

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21
Q

8x 2 what is the “2” called?

A

the exponent

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22
Q

What form is this quadratic?
f(x)=ax 2 +bx+c

A

STANDARD

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23
Q

What form is this quadratic?
f(x)=-5x 2 +8x-12

A

STANDARD

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24
Q

What form is this quadratic?
f(x)=a(x-h) 2+k

A

VERTEX

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25
Q

What form is this quadratic?
f(x)=-3(x+22) 2+15

A

VERTEX

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26
Q

What form is this quadratic?
f(x)=a(x-Z)(x-Z)

A

INTERCEPT or FACTORED

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27
Q

What form is this quadratic?
f(x)= -(x-9)(x+11)

A

INTERCEPT or FACTORED

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28
Q

What is the standard form of a quadratic?

A

f(x)=ax 2 +bx+c

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29
Q

What is the vertex form of a quadratic?

A

f(x)=a(x-h) 2 +k

30
Q

What is the FACTORED or INTERCEPT form of a quadratic?

A

f(x)= a(x-Z)(x-Z)

31
Q

f(x) = 2x 5 +5x 4 -8x 3 +6x 2 -5x + 3
What type of polynomial?

A

QUINTIC

32
Q

f(x) =5x 4 -8x 3 +6x 2 -5x + 3
What type of polynomial?

A

QUARTIC

33
Q

f(x) =-8x 3 +6x 2 -5x + 3
What type of polynomial?

A

CUBIC

34
Q

f(x) = 5x 4 +6x 2 -+ 3 What is type of polynomial?

A

QUARTIC

35
Q

f(x) = -12x 2 + 3
What type of polynomial?

A

QUADRATIC

36
Q

f(x)= -x+8
What type of polynomial?

A

LINEAR

37
Q

f(x)= 7
What type of polynomial?

A

CONSTANT
It is a horizontal line with a constant height of 7

38
Q

f(x) = -8x 3 + 3 What is type of polynomial?

A

CUBIC

39
Q

f(x) = 2x 5 +5x 4 -8x 3 +6x 2 -5x + 3 What is the quartic term?

A

5x 4

40
Q

f(x) = 2x 5 +5x 4 -8x 3 +6x 2 -5x + 3 What is cubic term?

A

-8x 3

41
Q

f(x) = 2x 5 +5x 4 -8x 3 +6x 2 -5x + 3 What is coefficient of cubic term?

A

-8

42
Q

f(x) = 2x 5 +5x 4 -8x 3 +6x 2 -5x + 3 What is the exponent on the cubic term?

A

3

43
Q

f(x) = 2x 5 +5x 4 -8x 3 +6x 2 -5x + 3 What is the quintic term?

A

2x 5

44
Q

f(x) = 2x 5 +5x 4 -8x 3 +6x 2 -5x + 3 What is the coefficient of the cubic term?

A

-8

45
Q

f(x) = ax 2 + bx + c What is “ax 2 ” called?

A

the quadratic term, or the leading term

46
Q

f(x) = ax 2 + bx + c What is “bx” called?

A

the linear term

47
Q

f(x) = ax 2 + bx + c What is “c” called?

A

the constant term

48
Q

f(x) = ax 2 + bx + c What is “a” called?

A

the coefficient of the quadratic term, or the coefficient of the leading term

49
Q

f(x) = ax 2 + bx + c What is “b” called?

A

the coefficient of the linear term

50
Q

f(x) = ax 2 + bx + c What is the coefficient of the quadratic term?

A

a

51
Q

f(x) = ax 2 + bx + c What is the coefficient of the linear term?

A

b

52
Q

f(x) = ax 2 + bx + c What is the coefficient of the constant term?

A

c (it is the y intercept)

53
Q

f(x) = ax 2 + bx + c What is the quadratic term?

A

ax 2

54
Q

f(x) = ax 2 + bx + c What is the linear term?

A

bx

55
Q

f(x) = ax 2 + bx + c What is the constant term?

A

c (it is the y intercept)

56
Q

f(x) = ax 2 + bx + c What is y intercept?

A

c, the coordinates of the y intercept are (0,C)

57
Q

f(x)= 3x 2 -6x+5 What is the quadratic term?

A

3x 2 is the quadratic term

58
Q

f(x)= 3x 2 -6x+5 What is the linear term?

A

-6x is the linear term

59
Q

f(x)= 3x 2 -6x+5 What is the constant term?

A

5, it is the also the y intercept

60
Q

f(x)= 3x 2 -6x+5 What is the coefficient of the quadratic term?

A

3 this is also known as “a”

61
Q

f(x)= 3x 2 -6x+5 What is the leading term?

A

3x 2 is the leading term

62
Q

f(x)= 3x 2 -6x+ 5 What is the coefficient of the linear term?

A

-6 is the coefficient of the linear term, this is also known as “b”

63
Q

f(x)= 3x 2 -6x+5 What is the coefficient of the constant term?

A

5
this is also known as “c”

64
Q

f(x)= 3x 2 -6x+5 what are the coordinates of the y-intercept?

A

(0,5) are the coordinates of the y intercept

65
Q

f(x)= 3x 2 -6x+5 What is the coefficient of the constant term?

A

5

66
Q

what is the quadratic term’s exponent on the x ?

A

2

67
Q

what is the linear term’s exponent on the x ?

A

1

68
Q

what is the constant term’s exponent on the x?

A

0

69
Q

What does “descending” mean

A

decreasing.. 5, 4, 3 is descending

70
Q

What does it mean to be for a polynomial to be in “STANDARD FORM”

A

When the terms are arranged so that their degrees go in descending order. Highest degree term goes first, lowest last.

71
Q

What is another name for the term in a polynomial with the highest degree?

A

The LEADING TERM

72
Q

How can you find the LEADING TERM?

A

It is the term with the highest degree

2022 ALGEBRA 2 (3 decks)

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