Unit 5 Flashcards
Product Rule
a^m * a^n = a^m+n
Power Rule
(a^m)^n = a^m*n
Highest Exponent
Degree
Perfect Squares
1, 2, 4, 9, 16, 25, 36, 49, 81, 100
Perfect Cubes
1, 8, 27, 64, 125, 216, 343, 512… 1000
Ways to Solve Quadratic Equations
Square roots, completing the square, or the quadratic formula
Leading Coefficient
L.C, an
Polynomial Fuctions
The coefficients are real numbers and n is a positive integer, no negative exponents
Constant
y=c, horizontal
Linear
y=x, diagonal
Quadratic
y=x^2, parabola
Cubic
y=x^3, swoop
Quartic
y=x^4, parabola
Quinitc
y=x^5, swoop
Math Aerobics
End Behaviour
Degree
Even or odd exponent
L.C.
Positive or negative coefficient
Even Degree Polynomial Has
Even number of zeros or none
Odd Degree Polynomial Has
Odd number of zeros
Linear Factors
Of a polynomial reveal its zeros and can be found by writing the polynomial in factored form
Multiplicity is Even
Bounces
Cross
Odd, one multiplicity
Wiggle
Odd, greater than three multiplicity
Long Division
Non-linear and always works
Synthetic Division
If the divisor is linear and shortcut
Parts of Division Equation
Quotient on top, dividend in middle, divisor out front
Answer Written As
Quotient + remainder/divisor
Factor Theorem
If x=a is a zero to polynomial f(x), then (x-a) is a linear factor of f(x)
Imaginary Solution
Invisble
Degree X Means
X solutions
