Problem 3. Recall that an integer polynomial is an expression of the form P(T) = caTd +...+c₁T + Co, where each ci is an integer. (a) Find a nonzero integer polynomial P(T) that has √3+5 as a root. (b) Prove that √√3+5 is irrational using 4.(a).

Q: Let P() = 2- 2x2+ 3x-4x. Use synthetic division to find the value P(2i).

A: Given,         Px=2-2x2+3x5-4x3

Q: 12. Based on a function whose leading coefficient is -7 and constant is 5, which of the following is…

A: In this question, we can use the rational roots theorem to find the possible rational roots. As per…

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A: Please see the explanation below

Q: Find a possible formula for a polynomial with degree n=2 and the zeros are x = -4 and x = 11.

A: Let the polynomial at 2nd degree be             P(x) = x2 + ax + b Given, Zeroes are x = -4 and x…

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A:

Q: 7. Consider the polynomial equation 3x3 +8x²-33x+10=0. a. b. c. d. According to Descartes' Rule of…

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A: Concept Used:( The Rational zero theorem)- If fx=Cnxn+Cn-1xn-1+........+C1x+C0 has integer…

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Q: [23-R] [CLO 6] Find all of the solutions of the equation 3(x + 5)3 (6 − x)9 (4x − 2) = 0. (Note:…

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