Let P(x) = 2x4 + 2x3 + x² + 5x-10. a) b) Use the Rational root theorem to find all the possible rational root of P(x) = 0. Use the bounds theorem to find an upper bound for the modulus of the roots of P(x). Does this eliminates any answer from part (a)? c) | Find all roots of P(x) = 0 and decompose P(x) according to its factors.

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A: Given: fx=x3-3x2-33x+35

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A: a)  3b)  Nc)  -14Explanation:Thank you 😊

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A: Rational roots theorem

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A: We have given,   f(x) = x4 - x2 - 4x - 20

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A: Given:Degree of the polynomial = 3Real coefficient an = 5Zeros of the polynomial are 2, i and -i.

Q: 20-R] [CLO 22] Let q be the polynomial function given by the formula q(x) = 3x5 − 6x3 + x2 − 6.…

A: To apply the rational root test to the polynomial q(x) = 3x^5 − 6x^3 + x^2 − 6, we need to consider…