Remainder/ Factor Theorem End Behavior Zeros / Graphs Polynomials Exponents 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500

Remainder/Factor Theorem 100 Use the Remainder Theorem to find f(3) for f(x) = 4x4 – 2x3 – 10x2 - 10 A. -10 B. -60 C. 125 D. 170 Get Answer Main

Remainder/Factor Theorem 100 Use the Remainder Theorem to find f(3) for f(x) = 4x4 – 2x3 – 10x2 - 10 A. -10 B. -60 C. 125 D. 170 Main

Remainder/Factor Theorem 200 Divide 2x3 + 5x2 – 7x – 1 by (2x+3) Main Get Answer

Remainder/Factor Theorem 200 Divide 2x3 + 5x2 – 7x – 1 by (2x+3) x2 + x – 5 + _14__ (2x+3) Main

Remainder/Factor Theorem 300 Divide 3x3 + 16x2 + 21x + 22 by (x+4) Main Get Answer

Remainder/Factor Theorem 300 Divide 3x3 + 16x2 + 21x + 22 by (x+4) 3x2 + 4x + 5 + _2__ (x+4) Main

Remainder/Factor Theorem 400 If I were to look in the dictionary under the words “greatest” and “math teacher”, whose name would I see? Get Answer Main

Remainder/Factor Theorem 400 If I were to look in the dictionary under the words “greatest” and “math teacher”, whose name would I see? KAPLAN ! Come on guys, that was the easiest 400 points in the game! Main

Remainder/Factor Theorem 500 Determine if (x – 2) is a factor of: f(x) = 4x3 – 9x2 – 3x + 12 Get Answer Main

Remainder/Factor Theorem 500 Determine if (x – 2) is a factor of: f(x) = 4x3 – 9x2 – 3x + 12 No, but you must prove it with synthetic division for your points! Main

End Behavior 100 Describe the end behavior of f(x) = -6x17 + 5x4 – 8x2 + 10 As x  + , f(x)  ______ As x  - , f(x)  ______ Main Get Answer

End Behavior 100 Describe the end behavior of f(x) = -6x17 + 5x4 – 8x2 + 10 As x  + , f(x)  ______ As x  - , f(x)  ______ Main

End Behavior 200 Describe the end behavior of f(x) = 6x38 + 5x3 – 8x + 11 As x  + , f(x)  ______ As x  - , f(x)  ______ Main Get Answer

End Behavior 200 Describe the end behavior of f(x) = 6x38 + 5x3 – 8x + 11 As x  + , f(x)  ______ As x  - , f(x)  ______ Main

End Behavior 300 Describe the end behavior of f(x) = -x156 + x3 – x As x  + , f(x)  ______ As x  - , f(x)  ______ Name one zero. ________ Main Get Answer

End Behavior 300 Describe the end behavior of f(x) = -x156 + x3 – x As x  + , f(x)  ______ As x  - , f(x)  ______ Name one zero. ________ x = 0 Main

End Behavior 400 No Calculator ! Sketch the graph. How many turning points? What are the x-intercepts? f(x) = x3 – 4x2 + 4x No Calculator ! Main Get Answer

End Behavior 400 No Calculator ! Sketch the graph. How many turning points? What are the x-intercepts? f(x) = x3 – 4x2 + 4x Think about your ends. 2 (0, 0) and (2, 0) (factor and set factors to 0— What about multiplicity?) No Calculator ! Main

End Behavior 500 What is your favorite subject? Algebra 2 b) AlgebrA 2 c) Alg. 2 d) Math – specifically Algebra 2 Main Get Answer

End Behavior 500 What is your favorite subject? Algebra 2 b) AlgebrA 2 c) Alg. 2 d) Math – specifically Algebra 2 Easy choice! Of course no other subject was even a contender! Main

Zeros / Graphs 100 Write a polynomial function of least degree that: has real coefficients, the given zeros of: 1, -1, -7 and a leading coefficient of 1. Put the polynomial in standard form. Main Get Answer

Zeros / Graphs 100 Write a polynomial function of least degree that: has real coefficients, the given zeros of: 1, -1, -7 and a leading coefficient of 1. Put the polynomial in standard form. x3 + 7x2 – x – 7 Main

Zeros / Graphs 200 Find all of the possible rational zeros of: f (x) = 3x5 + 2x4 – 7x2 – 9x + 5 Main Get Answer

Zeros / Graphs 200 Find all of the possible rational zeros of: f (x) = 3x5 + 2x4 – 7x2 – 9x + 5 1, 5 = = 1, , 5, 1, 3 Main

Zeros / Graphs 300 What are all the rational zeros of   What are all the rational zeros of f(x) = x3 − 3x2 − 40x + 84? (You must prove it with synthetic division.) Main Get Answer

Zeros / Graphs 300 What are all the rational zeros of f(x) = x3 − 3x2 − 40x + 84? (You must prove it with synthetic division.) -6 1 -3 -40 84 -6 54 -84 1 -9 14 0 2 1 -3 -40 84 2 -2 -84 1 -1 -42 0 7 1 -3 -40 84 7 28 -84 1 4 -12 0 Main

Zeros / Graphs 400 Main Get Answer Use the graph to the right to answer the following: End Behavior: As x  +, f(x)______________   As x  -, f(x)______________ # Turning Points: _________________________ Degree of polynomial: _________________ You must give me the coordinate (if any) in the following:   Absolute Min: _______ Relative Min (Name one.): __________ Absolute Max: _______ Relative Max (Name one.): _________   Main Get Answer

Zeros / Graphs 400 - + 4 5 none none Main (-4,-5) or (-1,-2) Use the graph to the right to answer the following: End Behavior: As x  +, f(x)______________   As x  -, f(x)______________ # Turning Points: _________________________ Degree of polynomial: _________________ You must give me the coordinate (if any) in the following:   Absolute Min: _______ Relative Min (Name one.): __________ Absolute Max: _______ Relative Max (Name one.): _________ - + 4 5 none (-4,-5) or (-1,-2) none (-2, 4) or (1,4) Main

Zeros / Graphs 500 What are all of the zeros of: f(x) = 2x3 – 11x2 + 8x – 15 Main Get Answer

Zeros / Graphs 500 What are all of the zeros of: f(x) = 2x3 – 11x2 + 8x – 15 Graph to find that 5 is a zero. Synthetically divide out the 5. Use quadratic formula: 5 2 -11 8 -15 2x2 – x + 3 10 -5 15 2 -1 3 0 Main

Polynomials 100 At most, how many roots does the following polynomial have? f(x) = 5x4 – 2x3 + x2 - 7 Main Get Answer

Polynomials 100 At most, how many roots does the following polynomial have? f(x) = 5x4 – 2x3 + x2 - 7 4 Main

Polynomials 200 Create a polynomial with the following characteristics: quartic, leading coefficient is 9, quadratic coefficient is 4, linear coefficient is –5 and the constant term is –2. Main Get Answer

Polynomials 200 Create a polynomial with the following characteristics: quartic, leading coefficient is 9, quadratic coefficient is 4, linear coefficient is –5 and the constant term is –2. 9x4 + 4x2 – 5x – 2 Main

Polynomials 300 Daily Double ! If -6/11 is a zero of a polynomial function, what is a factor? Daily Double ! Main Get Answer

Polynomials 300 Daily Double ! If -6/11 is a zero of a polynomial function, what is a factor? (11x + 6) Daily Double ! Main

Polynomials 400 Find (-5x2 + 11x – 1) – (6x2 + 8x – 7) Get Answer Main

Polynomials 400 Find (-5x2 + 11x – 1) – (6x2 + 8x – 7) -11x2 + 3x + 6 Main

Polynomials 500 Factor 8x3 + 27 Get Answer Main

Polynomials 500 Factor 8x3 + 27 (2x + 3)(4x2 – 6x + 9) Main

Exponents 100 Simplify. (2y-5)(4x0) Get Answer Main

Exponents 100 Simplify. (2y-5)(4x0) Main

Exponents 200 Simplify. (-2x3y-3)2 Main Get Answer

Exponents 200 Simplify. (-2x3y-3)2 Main

Exponents 300 Simplify. Main Get Answer

Exponents 300 Simplify. Main

Exponents 400 Simplify. (4x-2y)-2 Main Get Answer

Exponents 400 Simplify. (4x-2y)-2 Main Main

Exponents 500 Simplify. Main Get Answer

Exponents 500 Simplify. Main