Algebra 2 Quiz Lessons 6.1-6.3 Name __________________________________ Write each polynomial function in standard form. Then classify it by degree and by the number of terms. 1. y = 4x2 – x + 7x4 2. f(x) = 4x + 3x3 + 2x – 7 standard form: ___________________________________ standard form: __________________________________ degree: _________ degree: __________ 3. Find the cubic model for the data. ________________________________________________ Men’s Olympic Springboard Diving Records since 1980. Year Points 0 905.2 4 754.41 8 730.80 12 676.53 16 701.46 20 708.72 24 787.38 4. Write a polynomial function with the given zeros. 5, -1, 3 5. Write (x – 2)(x + 4)(x + 1) as a polynomial in standard form. 6. Find the zeros of the given function. 7. Graph the function from Question #6. 10 y = x(x + 8)(x – 2) 8 6 4 2 -6 -5 -4 -3 -2 -1 1 2 3 4 -2 -4 -6 -8 -10 8. For the function, determine the zeros and their multiplicity. y = (x + 2)2(x – 5)4 9. Divide using long division. 10. Divide using synthetic division. (x3 + 3x2 – x – 3) (x – 1) (2x3 – 3x2 – 18x – 8) (x – 4) 5 6