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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Q: 3. Let p(x) = 6xª – 13x³ + 13x² – 2. - (a) Find q(x) such that p(x) = (2x – 1)q(x) using synthetic…

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Q: Use two methods: 1) the rational root theorem and Descartes' rule of signs to find them. 2) Use…

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Q: 3. a) For the polynomial function P(x) = 2x- 7x? + 4x + 4, could there be exactly 1 real-valued…

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Q: Consider the polynomial P(x) = 4x² + 5x³ − 2x² + 5x – 6. (b) What are the possible rational roots of…

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Q: Consider the following cubic polynomial function: p(x) = 2x32x29x - 5 a) How many zeros does this…

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

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Q: The possible rational roots of f(x) = 5x³-82² - 4x +3 are = (Use "+" to indicate the symbol. So…

A: Rational roots theorem

Q: The figure shows that graph of p(x) = x* – 7x³ – 9. Use the intermediate value theorem to prove that…

A: The graph of the function px=x4-7x3-9 is as follows:

Q: 2. The possible rational zeros of the function p(x)=x³+ 2x²+ 2x+ 6 are: (a) ±1#2,±3 (b) +1,+2,+6 (c)…

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Q: C) Find a polynomial of degree 2 that has two irrational zeros

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Q: 14) For a polynomial with Degree 3; an-5; zeros 2, i, and -i a) Find the complete factored form of…

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Q: (i) Consider the polynomial f(x)= x³8x² + x +52. Please accept as a given that the polynomial f(x)…

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Q: write a polynomial function with rational coefficients so that P(x)=0 has the given roots. A) 2 + i…

A: Solution:-

Q: Find all positive rational numbers  x and y for which  (x+1/y)and(y+1/x)  are natural numbers.

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Q: 1) Let P(x) = 2x- 3x' +x-15 a) Explain how Descartes' Rule of Signs is used to determine the…

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Q: What are the rational roots of P(æ) = x* – 2x3 + 3x2 – 4x + 2? - Ox = 1 O This polynomial has no…

A: We have to find rational roots of  P(x) I.e. solve  P(x) = 0 =>  x4 - 2x3 + 3x2 - 4x + 2 = 0 Use…

Q: A regular n-gon is constructible if and only if cos(2π/n) is constructible. (a) Prove that a regular…

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