For any two rationals a//b and c//d where a, b, c, d not equal to 0 ∈ Z, the product is given by a//b × c//d = ad//bc ” Explain what goes wrong here and how does this definition restrict us in further developing the calculus of rationals. Provide sound mathematical reasoning to support your explanation

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Q: Rewrite the rational expression by using division. Choices for 4-9: A) 6x - 2 C) 2x² +3x+5+ E) 6x3 +…

A: I have given the answer in the next step. Hope you understand that

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Q: 1.Find all of the zeros of f(x)= x5-x4-4x3+8x2-32x+48 by using synthetic division.

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A: To Determine: If 2+3i is a zero of a polynomial function with real coefficients. Determine the…

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Q: Simplify the following complex fraction; State the domain restriction: 1 X|N 2 1 1 X 1 -

A: To simplify the following complex fraction. To state the domain restriction.

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Q: For the remainder of the division of x-2x²+3kx+18 by x-6 to be equal to zero, k must be equal to?

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Q: 5. а) Factor the polynomial f (x) = 3xª+2x³+2x² +2x-1 into irreducible polynomials in C[r], R[7),…

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A: The problem is about simple polynomial division, so I used polynomial long division method to solve…

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Q: If x=3 and x= -5 are zeros of  4x4-20x3-31x2-170x-75, find the other zeros algebraically

A: The question is wrong please look at the question again x = 3 is not a zero of the given polynomial.

Q: 3. Divide f(x)= x³ + 2x² - 2x+4 By (x-2) using synthetic division. What is the remainder?

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Q: If f(-1)=2x4+x2-5 is -2, can you use the factor theorem to find the other factor? a)No because…

A: Topic:- algebra