Polynomial Quiz Review Sections 6.1-­‐6.3 1. Write the polynomial in standard form. Then classify it by degree and by number of terms: 𝑥 ! − 𝑥 ! + 2𝑥 ! 2. Find the cubic model: (0,-­‐12),(1,10),(2,4),(3,42) 3. Find the cubic model and estimate the value of y when x=17: (-­‐1,-­‐3),(0,0), (1,-­‐1),(2,0) 4. Simplify. Classify the result by number of terms. (x+1)(x-­‐1)(x+2) Find the zeros and state the multiplicity of multiple zeros. 5. 𝑦 = 𝑥 − 2 ! (x-­‐1) 6. 𝑓 𝑥 = 𝑥 ! − 36𝑥 Find the relative max, relative min, and zeros of each function. 7. 𝑓 𝑥 = −𝑥 ! + 16𝑥 ! − 76𝑥 + 96 Write a polynomial function in standard form with the given zeros. 8. x= -­‐2, 0, 1 Divide by using synthetic division. 9. (𝑥 ! − 28𝑥 − 48) ÷ (𝑥 + 4) Use the remainder theorem to evaluate the function. (Hint: Find the remainder.) 10. 𝑓 𝑥 = 𝑥 ! − 26𝑥 + 7 at x=5