This is JEOPARDY!!! It would be wise to be attentive, take appropriate notes, and ask questions.

MISC Polynomial No Calc Polynomial Calc O.K

Back f(x)=?? (-3,0) (-8,0) (3,0) (0,4) f(x)=(-1/432)(x+8) 2 (x+3) 2 (x-3)

Back Given f(x) =(x-2) 2 (x+1) 3 (x-3) As x  -  f(x)  As x  f(x)  Sketch the graph of f(x) using the intercepts. f(x) =(x-2) 2 (x+1) 3 (x-3)

Back Write a quartic polynomial with the the only real zero of 1. You also know 1-i is a complex zero. g(x)=x 4 -4x 3 +7x 2 -6x+2 work

Back Find a cubic function with integral coefficients that has no quadratic term if one root is 3 + i  2 y=x 3 -25x+66

If p(x) = x 4 – 8x 2 – 8x – 1 List at least 3 things that p(-3) represents. Back

If three of the zeros of g(x) are -1,3, and 2 - i. Find the other zeros. g(x)=x 6 -6x 5 +14x 4 -22x 3 +25x 2 +8x i, 2i, -2i

Back Given k(x) =2x 4 +15x 3 –126x x –350 Write as a product of linear terms.

Back Factor completely. y = 3x x 3 +24x 2 +22x+5

Back Find all zeros. -4,-1,1,2

Back Write a cubic polynomial function with integer coefficients and positive leading coefficient whose zeros are -1/3, 0, and 2/5. y = 15x 3 - x 2 - 2x

Back Find the polynomial equation with integer coefficients of least degree, and positive leading coefficient as small as possible, for which 1 - 2i is a double root. x 4 -4x 3 +14x 2 -20x+25 work

Back Find “k” so that (x+1) is a factor of j(x) =2x 3 +(k+1)x 2 -6kx- 11 K= 12/7

Back What is the remainder when 2x 4 -9x 2 +17x+3 is divided by (x+3)? R(x)=33

Back If r(x) =6x 4 -4x 3 +14x 2 -20x+25 The sum of the zeros is ___,the product of the zeros is___, the product taken two at a time is ___, taken three at a time is __.

Back If r(x) =6x 4 -4x 3 +14x 2 -20x-25 Descartes says… The rational root theorem says …

Back Review: pp # 23,29 without the calculator graph using the intercepts, 47,52 p. 276 # 1 – 7 Fill in the blank p. 277 # 1,2,4,5 True/False p. 277 – 78 # 1,3,35,39,55 CALC QUIZ WED (20 minutes, 15 pts) NO CALC QUIZ THUR (50 minutes, 35 points)

Handout 1

Non Calculator quiz. Polynomials: End behavior, Descartes’ Rule of Signs, Rational Zeros Test, Factor and Remainder Thm Calculator quiz: Find all zeros and completely factor.

Polynomial No Calc 100

Polynomial No Calc 200

Polynomial No Calc 300

Polynomial No Calc 400

Polynomial No Calc 500

Polynomial 100

Polynomial 200

Polynomial 300

Polynomial 400

Polynomial 500

Misc 100

Misc 200

Misc 300

Misc 400

Misc 500

Back f(x)=?? (-3,0) (-8,0) (3,0) (0,4) f(x)=(-1/432)(x+8) 2 (x+3) 2 (x-3)

Back Given f(x) =(x-2) 2 (x+1) 3 (x-3) As x  -  f(x)  As x  f(x)  Sketch the graph of f(x) using the intercepts. f(x) =(x-2) 2 (x+1) 3 (x-3)

Back Write a quartic polynomial with the the only real zero of 1. You also know 1-i is a complex zero. g(x)=x 4 -4x 3 +7x 2 -6x+2

Back Find a cubic function with integral coefficients that has no quadratic term if one root is 3 + i  2 y=x 3 -25x+66

If p(x) = x 4 – 8x 2 – 8x – 1 List at least 3 things that p(-3) represents. Back

If three of the zeros of g(x) are -1,3, and 2 - i. Find the other zeros. g(x)=x 6 -6x 5 +14x 4 -22x 3 +25x 2 +8x i, 2i, -2i

Back Given k(x) =2x 4 +15x 3 –126x x –350 Write as a product of linear terms.

Back Factor completely. y = 3x x 3 +24x 2 +22x+5

Back Find all zeros. -4,-1,1,2

Back Write a cubic polynomial function with integer coefficients and positive leading coefficient whose zeros are -1/3, 0, and 2/5. y = 15x 3 - x 2 - 2x

Back Find the polynomial equation with integer coefficients of least degree, and positive leading coefficient as small as possible, for which 1 - 2i is a double root. x 4 -4x 3 +14x 2 -20x+25

Back Find “k” so that (x+1) is a factor of j(x) =2x 3 +(k+1)x 2 -6kx- 11 K= 12/7

Back What is the remainder when 2x 4 -9x 2 +17x+3 is divided by (x+3)? R(x)=33

Back If r(x) =6x 4 -4x 3 +14x 2 -20x+25 The sum of the zeros is ___,the product of the zeros is___, the product taken two at a time is ___, taken three at a time is __.

Back If r(x) =6x 4 -4x 3 +14x 2 -20x-25 Descartes says… The rational root theorem says …

Back Review: pp # 1-30 PP. 277 # 1-20,25-56 ARE PROBLEMS THAT YOU MAY SEE, ALONG PROBLEMS DISCUSSED IN CLASS.

Back Write a quartic polynomial with the the only real zero of 1. You also know 1-i is a complex zero.

Back Find the polynomial equation with integer coefficients of least degree, and positive leading coefficient as small as possible, for which 1 - 2i is a double root. x 4 -4x 3 +14x 2 -20x+25