Task 3: Using the Fundamental Theorem of Algebra, complete the following: Determine how many, what type, and find the roots for f(x) = x4 + 21x2 100. − Determine how many, what type, and find the roots for f(x) = x3 5x2 25x + 125. − − The following graph shows a seventh-degree polynomial: Part 1: List the possible multiplicities. polynomial’s zeroes with Part 2: Write a possible factored form of the seventh-degree function. Without plotting any points other than intercepts, draw a possible graph of the following polynomial: f(x) = (x + 8)3(x + 6)2(x + 2)(x 1)3(x 3)4(x 6). − − − Paste Graph Here Task 4: Perform the following operations and prove closure. 5. Compare and contrast division of integers to division of rational expressions. Task 5:
Task 3: Using the Fundamental Theorem of Algebra, complete the following: Determine how many, what type, and find the roots for f(x) = x4 + 21x2 − 100. Determine how many, what type, and find the roots for f(x) = x3 − 5x2 − 25x + 125. The following graph shows a seventh-degree polynomial: Part 1: List the polynomial’s zeroes with possible multiplicities. Part 2: Write a possible factored form of the seventh-degree function. Without plotting any points other than intercepts, draw a possible graph of the following polynomial: f(x) = (x + 8)3(x + 6)2(x + 2)(x − 1)3(x − 3)4(x − 6). Paste Graph Here Task 4: Perform the following operations and prove closure. 5. Compare and contrast division of integers to division of rational expressions. Task 5:
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