Chapter 10/ Polynomials Flashcards

0
Q

Polynomial

A

Expression with more than one term

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1
Q

Quadratic formula

A

2a

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2
Q

Parabola

A

Graph of a quadratic equation

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3
Q

Quadratic equation

A

Ax^2+bx+c

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4
Q

Vertex form

A

F(x)=a(x-h)^2+k

Vertex: h,k
Axis: x=h

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5
Q

Vertex

A

Lowest point on a parabola if it opens up, the highest if it opens down

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6
Q

Axis of symmetry

A

Vertical line through vertex of a parabola

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7
Q

Vertex of a parabola

A

(-b/2a), f(-b/2a)

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8
Q

Zeros

A

X-intercepts of a parabola, what x value makes the equation equal 0

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9
Q

Needed to know to graph a polynomial:

A

Y intercept
Zeros
End behavior
Maximums and minimums

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10
Q

Domain of functions

A

All real numbers

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11
Q

End behavior: even degree, a is positive

A

Up, up

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12
Q

End behavior: even degree, a is negative

A

Down, down

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13
Q

End behavior: odd degree, a is positive

A

Down, up

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14
Q

End behavior: odd degree, a is negative

A

Up, down

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15
Q

Multiplicity

A

When a polynomial has duplicate values as zeroes

16
Q

Multiplicity 1

A

Curve goes through zero

17
Q

Multiplicity 2

A

Curve bounces off zero

18
Q

Multiplicity 3

A

Curve flattens then passes through zero

19
Q

Range of functions with odd degree

A

All real numbers