Suppose that 2^n − 1 is prime. Show that n must also be prime. (Hint: try to find a convenient factorization of the polynomial x^n − 1 if n is composite).

Q: Create a cubic expression that when divided by (x-1) will have a remainder of 6

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Q: ind witnesses to show that n^3 − 5n^2 − 4n is O(n^3).

A: In this question, order of polynomial can be found with the help of Big-O notation. Big-O Notation…

Q: Evaluate (6 – 5)^2 by working within the parentheses first. Evaluate 6^2 – 5^2. Compare the answer…

A: Evaluate (6 – 5)^2 Evaluate 6^2 – 5^2.

Q: 80. A third-degree polynomial has two turning points. fx)=x3 false

A: We need to prove given statement is false.

Q: A polynomial has a leading term -2x^7. Discuss the end behavior

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Q: Write out the first three terms in the expansion of (x + y)^20

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Q: Show the following for [im 11x|lp = 11x11.00 P-0 XER

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Q: What is the coefficient of (x^8)(y^12) in the expansion of (2x+3y)^20

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Q: Expand (x − 1)^5 using any method of choice

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Q: The first three terms in the expansion of (1 + ay)^n are 1, 12y, and 68y^2. Find a and n.

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Q: Given that 3 is a zero of the polynomial P(x) = 2x+ – 17x3 +52x² – 64x + 21, find the other real and…

A: NOTE: Refresh your page if you can't see any equations. . take P(x)=0 the given zero is x=3,  now…

Q: Find the x^2y^3 term in the expansion of (3x + y)^5. Simplify your answer so it does not include any…

A: Given that (3x+y)5

Q: When you perform polynomial long division on the rational expression a²+3x+3 the numerator of the…

A: The rational expression,    x2+3x+3x+1