Classifying by degree and number of terms
End Behavior
Multiplicity
Solving Polynomial Equations by Factoring
Dividing Polynomials
100
degree: 1 # of terms: 2
What is a linear binomial?
100
Leading coefficient: positive degree: even
What is rise, rise?
100
Behavior at the zero: touches the x-axis (bounce).
What is even multiplicity?
100
Solve by factoring: 2x^2 - 8 = 0.
x= 4; x= -4
100
Divide: (x^2 - 3x - 40) / (x + 5)
What is (x - 8)?
200
degree: 3 # of terms: 3
What is cubic trinomial?
200
Leading Coefficient: positive degree: odd
What is fall, rise?
200
Behavior at the zero: crosses the x-axis (snake).
What is odd multiplicity?
200
Solve by factoring: 3x^3 - 6x^2 - 9x = 0.
x = -1; x = 0; x = 3.
200
Divide: (3x^3 + 9x^2 +8x +4) / (x + 2)
What is 3x^2 + 3x + 2?
300
degree: 2 # of terms: 1
What is quadratic monomial?
300
The end behavior of -7x^3 + 8x^2 + x.
What is rise, fall?
300
State the multiplicity for each zero and describe the behavior. y= (x - 1)(x + 1)(x - 2)
1, snake; 1, snake; 1, snake?
300
Solve by factoring: x^2 + 10x +25 = 0. Bonus: state the multiplicity/behavior.
x = -5. Multiplicity is 2, bounces.
300
Divide: (x^2 +3) / (x - 1).
What is (x + 1) r=4?
400
degree: 0 # of terms: 1
What is a constant monomial?
400
The end behavior of -x^4 - 7x^2 + 3.
What is fall, fall?
400
State the multiplicity for each zero and describe the behavior. y= (x - 4)^2
2, bounce.
400
Solve by factoring: x^3 + 2x^2 - 5x - 10 = 0.
x = -2; x= + sqrt.(5) x = - sqrt.(5)
400
Divide: (x^4 + 4x^3 - x - 4)/ (x^3 - 1)
What is (x + 4)?
500
degree: 4 # of terms: 4
What is a quartic polynomial with 4 terms?
500
The end behavior of 5 - 17x^7 + 9x^10.
What is rise, rise?
500
State the multiplicity for each zero and describe the behavior. y= (x + 1)(x - 1)^2(x-5)^3
1, snake; 2, bounce; 3, snake?
500
Solve by factoring: 8x^3 - 1 = 0.
x = 1/2; x = -1/2 + 1/2 i; x = -1/2 - 1/2 i.
500
Divide: (x^4 + x^2 - 2x + 6) / (x^2 - 2x + 2)
What is (x^2 + 2x + 3)?
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