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Intermediate Algebra B Unit 6: Cubic Functions Re-Teach Name _____________________________ Hour 1 2 3 4 5 6.3 I can demonstrate understanding of how to solve polynomial equations. LEVEL 1 Find all zeros of the following functions. 1. 𝑓(𝑥) = 2𝑥 3 + 3𝑥 2 – 8𝑥 + 3 ; given x = -3 is a zero 2. 𝑓(𝑥) = 𝑥 3 − 7𝑥 + 6; given (x – 2) is a factor 3. Is (x - 3) a factor of f(𝑥) = 5𝑥 3 + 2𝑥 2 − 9𝑥 + 5? Explain. LEVEL 2/3 4. Find all (real and complex) roots of the polynomial 𝑓(𝑥) = 𝑥 3 − 3𝑥 2 + 5𝑥 – 15 given x = 3 is a solution. Intermediate Algebra B Unit 6: Cubic Functions Re-Teach Name _____________________________ Hour 1 2 3 4 5 5. Find all (real and complex) roots of the polynomial f(x) = x4 - 9x3 + 23x2 – 81x + 126 (You will need to divide twice) 6. Write and solve a polynomial equation to find the dimensions of the solid with the given volume: a. V = 42 cm3 b. V = 82 m3 x-2 x-2 x 2x + 1 Dimensions:______________________ x -3 x-5 Dimensions:______________________ 7. You have a piece of paper which you will use to make a box by cutting x inches from each corner as shown then folding up the sides. a. Find all possible dimensions if the Volume is 150 in3 12 in 15 in b. What is the maximum volume for the given solid?