If a polynomial q(x) is divided by x – 4, the quotient is 2

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Presentation transcript:

If a polynomial q(x) is divided by x – 4, the quotient is 2 𝑥 2 +3𝑥+11+ 58 𝑥−4 . Which of the following must be true? q(-4) = 58 q(4) = 58 q(-4) does not exist q(4) does not exist Problem of the Day

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Find all of the zeros of: ℎ 𝑥 = 𝑥 4 −3 𝑥 3 − 𝑥 2 −27𝑥−90 Example 3

Find all of the zeros of: 𝑓 𝑥 = 𝑥 4 −3 𝑥 3 −9 𝑥 2 +77𝑥+150 Example 3

Complex Conjugates Theorem

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Write a polynomial function of least degree with integral coefficients, the zeros of which include 6, -2i. Example 4

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Which of the following functions has only real zeros? a) b) c) d) Problem of the Day