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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
What form is this quadratic? f(x)=-3(x+22) 2+15
VERTEX
26
What form is this quadratic? f(x)=a(x-Z)(x-Z)
INTERCEPT or FACTORED
27
What form is this quadratic? f(x)= -(x-9)(x+11)
INTERCEPT or FACTORED
28
What is the standard form of a quadratic?
f(x)=ax 2 +bx+c
29
What is the vertex form of a quadratic?
f(x)=a(x-h) 2 +k
30
What is the FACTORED or INTERCEPT form of a quadratic?
f(x)= a(x-Z)(x-Z)
31
f(x) = 2x 5 +5x 4 -8x 3 +6x 2 -5x + 3 What type of polynomial?
QUINTIC
32
f(x) =5x 4 -8x 3 +6x 2 -5x + 3 What type of polynomial?
QUARTIC
33
f(x) =-8x 3 +6x 2 -5x + 3 What type of polynomial?
CUBIC
34
f(x) = 5x 4 +6x 2 -+ 3 What is type of polynomial?
QUARTIC
35
f(x) = -12x 2 + 3 What type of polynomial?
QUADRATIC
36
f(x)= -x+8 What type of polynomial?
LINEAR
37
f(x)= 7 What type of polynomial?
CONSTANT It is a horizontal line with a constant height of 7
38
f(x) = -8x 3 + 3 What is type of polynomial?
CUBIC
39
f(x) = 2x 5 +5x 4 -8x 3 +6x 2 -5x + 3 What is the quartic term?
5x 4
40
f(x) = 2x 5 +5x 4 -8x 3 +6x 2 -5x + 3 What is cubic term?
-8x 3
41
f(x) = 2x 5 +5x 4 -8x 3 +6x 2 -5x + 3 What is coefficient of cubic term?
-8
42
f(x) = 2x 5 +5x 4 -8x 3 +6x 2 -5x + 3 What is the exponent on the cubic term?
3
43
f(x) = 2x 5 +5x 4 -8x 3 +6x 2 -5x + 3 What is the quintic term?
2x 5
44
f(x) = 2x 5 +5x 4 -8x 3 +6x 2 -5x + 3 What is the coefficient of the cubic term?
-8
45
f(x) = ax 2 + bx + c What is "ax 2 " called?
the quadratic term, or the leading term
46
f(x) = ax 2 + bx + c What is "bx" called?
the linear term
47
f(x) = ax 2 + bx + c What is "c" called?
the constant term
48
f(x) = ax 2 + bx + c What is "a" called?
the coefficient of the quadratic term, or the coefficient of the leading term
49
f(x) = ax 2 + bx + c What is "b" called?
the coefficient of the linear term
50
f(x) = ax 2 + bx + c What is the coefficient of the quadratic term?
a
51
f(x) = ax 2 + bx + c What is the coefficient of the linear term?
b
52
f(x) = ax 2 + bx + c What is the coefficient of the constant term?
c (it is the y intercept)
53
f(x) = ax 2 + bx + c What is the quadratic term?
ax 2
54
f(x) = ax 2 + bx + c What is the linear term?
bx
55
f(x) = ax 2 + bx + c What is the constant term?
c (it is the y intercept)
56
f(x) = ax 2 + bx + c What is y intercept?
c, the coordinates of the y intercept are (0,C)
57
f(x)= 3x 2 -6x+5 What is the quadratic term?
3x 2 is the quadratic term
58
f(x)= 3x 2 -6x+5 What is the linear term?
-6x is the linear term
59
f(x)= 3x 2 -6x+5 What is the constant term?
5, it is the also the y intercept
60
f(x)= 3x 2 -6x+5 What is the coefficient of the quadratic term?
3 this is also known as "a"
61
f(x)= 3x 2 -6x+5 What is the leading term?
3x 2 is the leading term
62
f(x)= 3x 2 -6x+ 5 What is the coefficient of the linear term?
-6 is the coefficient of the linear term, this is also known as "b"
63
f(x)= 3x 2 -6x+5 What is the coefficient of the constant term?
5 this is also known as "c"
64
f(x)= 3x 2 -6x+5 what are the coordinates of the y-intercept?
(0,5) are the coordinates of the y intercept
65
f(x)= 3x 2 -6x+5 What is the coefficient of the constant term?
5
66
what is the quadratic term's exponent on the x ?
2
67
what is the linear term's exponent on the x ?
1
68
what is the constant term's exponent on the x?
0
69
What does "descending" mean
decreasing.. 5, 4, 3 is descending
70
What does it mean to be for a polynomial to be in "STANDARD FORM"
When the terms are arranged so that their degrees go in descending order. Highest degree term goes first, lowest last.
71
What is another name for the term in a polynomial with the highest degree?
The LEADING TERM
72
How can you find the LEADING TERM?
It is the term with the highest degree

2022 ALGEBRA 2 (3 decks)

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