Unit 5 Flashcards

1
Q

Product Rule

A

a^m * a^n = a^m+n

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2
Q

Power Rule

A

(a^m)^n = a^m*n

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3
Q

Highest Exponent

A

Degree

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4
Q

Perfect Squares

A

1, 2, 4, 9, 16, 25, 36, 49, 81, 100

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5
Q

Perfect Cubes

A

1, 8, 27, 64, 125, 216, 343, 512… 1000

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6
Q

Ways to Solve Quadratic Equations

A

Square roots, completing the square, or the quadratic formula

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7
Q

Leading Coefficient

A

L.C, an

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8
Q

Polynomial Fuctions

A

The coefficients are real numbers and n is a positive integer, no negative exponents

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9
Q

Constant

A

y=c, horizontal

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10
Q

Linear

A

y=x, diagonal

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11
Q

Quadratic

A

y=x^2, parabola

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12
Q

Cubic

A

y=x^3, swoop

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13
Q

Quartic

A

y=x^4, parabola

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14
Q

Quinitc

A

y=x^5, swoop

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15
Q

Math Aerobics

A

End Behaviour

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16
Q

Degree

A

Even or odd exponent

17
Q

L.C.

A

Positive or negative coefficient

18
Q

Even Degree Polynomial Has

A

Even number of zeros or none

19
Q

Odd Degree Polynomial Has

A

Odd number of zeros

20
Q

Linear Factors

A

Of a polynomial reveal its zeros and can be found by writing the polynomial in factored form

21
Q

Multiplicity is Even

A

Bounces

22
Q

Cross

A

Odd, one multiplicity

23
Q

Wiggle

A

Odd, greater than three multiplicity

24
Q

Long Division

A

Non-linear and always works

25
Q

Synthetic Division

A

If the divisor is linear and shortcut

26
Q

Parts of Division Equation

A

Quotient on top, dividend in middle, divisor out front

27
Q

Answer Written As

A

Quotient + remainder/divisor

28
Q

Factor Theorem

A

If x=a is a zero to polynomial f(x), then (x-a) is a linear factor of f(x)

29
Q

Imaginary Solution

A

Invisble

30
Q

Degree X Means

A

X solutions