Polynomial Trashketball

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Presentation transcript:

Polynomial Trashketball

Groups of 5! When a question comes up, each person must work it out on their own paper. EVERY teammate must have the correct work and answer on their paper to get an opportunity to shoot. One point from the front edge of Ms. S’ desk, two from the back of it, and three from the door. Teams must rotate shooters.

Question 1 Write the polynomial in standard form. Classify the polynomial by degree and number of terms. (2x2 + 7) – (3x3 + x2 + 2)

Question 2 Divide using long division. (4 𝑥 2 −2𝑥+6)÷(2𝑥−1)

Question 3 Divide using synthetic division. ( 𝑥 4 −10 𝑥 2 +2𝑥+3)÷(𝑥−3)

Question 4 Find the zeros and state the multiplicity of multiple zeros. Then state the degree of the polynomial. y = x3 + 8x2 + 16x

Question 5 Find all complex roots (solutions). 2x3 - 128 = 0

Question 6 Determine whether 𝑥=−3 is a solution of 2𝑥 4 ++ 𝑥 3 +5 𝑥 2 −45=0.

Question 7 Given a function and one of its factors, find all the zeros of the function. x3 + 6x2 – x – 30; x + 5

Question 8 Find all the zeros of each function (Hint: Start with calculator.). 𝑦= 𝑥 3 −2 𝑥 2 +4𝑥−3

Question 9 Write an equation for the polynomial graph.

FINAL QUESTION: WORTH DOUBLE! h(x)=-x(x-2)(x+4)(x+1) Degree: ____ Leading term: pos or neg End Behavior: Zeros: ________________