Question

1.Determine whether the intermediate value theorem guarantees that the function has a zero on the given...

1.Determine whether the intermediate value theorem guarantees that the function has a zero on the given interval.

f (x) = x3 - 8x2 + 14x + 9; [1, 2]

yes or no?

2. Use synthetic division and the remainder theorem to determine if [x-(3-2i)] is a factor of f(x)=x2-6x+13

yes or no?

3. Use the factor theorem to determine if the given binomial is a factor of f (x).

f (x) = x4+ 8x3+ 11x2 - 11x + 3; x + 3

yes or no?

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