AAT - Long Division & Synthetic Division

Use long division and divide. What is your remainder?
(x Use long division and divide. What is your remainder? (2x ^{4}+7x^{3}-4x^{2}-27x-18) ÷ (x-2)Use synthetic division to determine the remainder.
(4x ^{2}-10x-21) ÷ (x-5)Use synthetic division to determine the remainder. (x ^{5}+x^{3}+2x^{2}-12x+8) ÷(x-2)Find the vertex by completing the square. (Write it as an ordered pair with no spaces.) F(x) = -x ^{2} + 6x - 8Find the vertex by completing the square. (Write it as an ordered pair with no spaces.) f(x) = 2x ^{2}+8x+7What is the maximum height of a baseball if the flight of the baseball is given by the following function. (You may use a calculator.) f(x) = -.0032x ^{2} + x + 3Solve any method. State the remainder. (3x ^{4}+7x^{3}+2x^{2}+15x+5) ÷ (3x+1)Use synthetic division to find f(-5) if
f(x) = 3x A rectangular plot is to be bounded on one side by a barnd and the other 3 sides by a fence. With 1200 feet of fence at your disposal, what is the largest area you can enclose? (Put a comma in your answer.) Given that 2 is a zero, what are the remaining zeros? (Separate answers with a comma and no spaces. Put answers in order from least to greatest.) f(x) = 3x ^{3}+5x^{2}-26x+8If 3 and -1 are roots, what are the remaining zeros? (Separate answers with a comma and no spaces. Put answers in order from least to greatest.) f(x) = 2x ^{4}+5x^{3}-29x^{2}-17x+15Find the cubic polynomial with the given roots of 0, -2 and 3. (Write the answer in standardform with no spaces and use the "carrot" button for exponents.) Simplify using synthetic division. What is the remainder? (x ^{4} - 3) ÷ (x + 2)Simplify using long division. (Write the answer in standard form with no spaces and use the "carrot" button for exponents.) (3x ^{6}+x^{4}-6x^{2}-2) ÷ (3x^{2} + 1) |

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