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: graph of a polynomial that touches the x axis at negative 5, crosses the x axis at negative 1, crosses the y axis at negative 2, crosses the x axis at 4, and crosses the x axis at 7. 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).
1 answer:
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Answer:
Step-by-step explanation:
1. regroup terms
2. Rewrite as
and 343 as
3. Since both terms are perfect cubes, factor using the sum of cubes formula, , where
and
4. Factor out of
5. Regroup
6. Factor again