Question

PLEASE HELP MEEEE WILL MARK YOU THE BRAINLEST
Write the equation of a polynomial function of degree 4 with roots -1, 2 + i, and Fundamental Theorem of Algebra
THEOREM: If P(x) is a polynomial of degree n > 1, then P(x) = 0 has exactly n roots including
multiple and complex roots.
Directions: Show your work!
1. Given: f (x) = 2x4
– 3x3
– x – 6.

a) This function has _____ roots. b) Find the roots.
The graphs shown below will give you needed information for answering this question.

2. Given: P(x) = 3x3
– 7x2
– 14x + 24

a) P(x) has _______ roots. b) If one of the roots is -2, find the remaining roots.

3. Write the equation of a polynomial function of degree 4 with roots -1, 2 + i, and 4.
4. Given: x5
+ x4
– 8x3
– 8x2
– 9x – 9 = 0

a) This equation has ______ roots. b) If one of the factors is (x + 1), find the roots.

5. The graph at the right shows a fifth degree polynomial
function, f (x), with roots at -2 and 2.
If f (x) = x5
– 2x4
– 16x + 32,

a) how many roots does this function have?
b) find the remaining roots.

6. Write the equation of a polynomial function of degree 5 with roots 1, 2i, and 3i.

Answer 1

Answer:

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Answer 2

Answer:

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Step-by-step explanation:

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