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Term 2 Week 7 Warm Ups Warm Up 12/1/14 1. Identify all the real roots of the equation: 3x3 - 18x2 – 9x + 132 2. Identify whether the degree is odd or even, whether the leading coefficient is positive or negative, describe the end behavior, and sketch the graph without using the calculator: 2x3 + 3x2 - 4x Warm Up 12/2/14 3. Write the polynomial that has roots 3 and 5 + i. 4. Expand using Pascal’s triangle and the binomial theorem: (2x – 3)4 Warm Up 12/3/14 5. Write the polynomial that has roots - 2 and √3. 6. Identify the roots of the equation. State the multiplicity of each root. x3 + 5x2 – 8x - 48 Warm Up 12/4/14 7. Write the polynomial that has roots - 2 and 5 + i. 8. If p(x) = 3x3 - 18x2 – 9x + 132 and q(x) = 2x3 + 3x2 - 4x, then what is p(x) – 3q(x)? Warm Up 12/5/14 9. If the area of a rectangle is 6x2 – 7x – 5 and the length is 3x – 5, write an expression that represents the width. (Hint: do long division!) 10. If a(x) = 2x3 + 18x2 – 9x + 42 and b(x) = 6x3 + 7x2 - x, then what is a(x) – 4b(x)?