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- 1. Open EndedClassify 3x⁵-8x³-2x²+5 by number of terms
- 2. Open EndedConsider the leading term of the polynomial function. What is the end behavior of the graph? 4x⁵+1x
- 3. Open EndedWhat is the graph of y=1/4x³
- 4. Open EndedUse synthetic division to find P(3) for P(x)= x⁴-6x³-4x²-6x-2.
- 5. Open Endedwhat is a cubic polynomial function in standard form with zeros 1,-2, and 2?
- 6. Open EndedWhich points are the best approximations of the relative maximum and minimum of the function? f(x)=x³+6x²-36x
- 7. Open EndedFind the real solutions of the equation by graphing x²-x+2=0
- 8. Open EndedDivide 3x³+3x²+2x-2 by x+3 using long division.
- 9. Open Endeddivide using synthetic division. -3x³+11x²-x+20 by (x-4)
- 10. Open EndedMiguel is designing shipping boxes that are rectangular prisms. The shape of one box, with height h in feet, has a volume defined by the function V(h)=h(h-5)(5-6). Graph the function. What is the maximum volume for the domain 0
- 11. Open EndedWrite the polynomial in factored form. x³-3x²-10x.
- 12. Open Endeduse the remainder theorem to find the remainder when P(x)=x⁴-9x³-5x²-3x+4 is divided by x+3
- 13. Open EndedSuppose the polynomial function below represents the power generated by a wind turbine, where x represents the wind speed in meters per second and y represents the kilowatts generated. Interpret f(10). F(x)=0.08x³+x²+x+0.26
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