Find the GCD(f, g), where (a) f = x² + x³x²+1, g = x³ + 1 in Q[x];

Q: If f(x) = x2 - x/ x - 1 and g(x) = x Is it true that f=g?

A: given  f(x)=x2-xx-1g(x)=x

Q: Calculate R3 and L3 for f(x) = x2-8x+2 over [1,4] .

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Q: Show that f(x) = x4 + 4.x + c has at most two real roots for any umber c.

A: Consider the given equation. fx=x4+4x+c Case 1: When c>0. No sign change, by Descartes rule of…

Q: Algebraically, find all zeros of f(x) = 8x3-6x2-36x + 27 in simplest form, %3D 4. Format Font - Size…

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Q: = x? – 5x + 7 has roots a and B. Use symmetric Suppose that f(x) functions to find a + B, aß, a² +…

A: If we have a quadratic equation ax2+bx+c=0 and α and β are the roots then: α+β=-ba αβ=ca We can use…

Q: Use the function f(x) = 5x – 6 to compute and expand and simplify the following. a. f(-) = b. f(-6a)…

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Q: f(x) = In (1+x³)

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Q: fƒ(x) = x² + 2x − 1, g(x)=2x-3, evaluate (gof) (2)

A: Given query is to find indicated composite function m

Q: Let f(x)=2x+1 and g(x)=2x2-1 a. f(t+1) b. f[g(-2)]

A: Givenf(x)=2x+1 and g(x)=2x2-1

Q: The figure is the graph of the derivative, f', of a function f on [-3, 3]. Determine the intervals…

A: All answer is given.

Q: Let f(x) = 9x +3 f f '(x) =

A: Given a function. We need to find its inverse.

Q: Calculate R8 for f(x)=7-x over [3,5].

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Q: Let f(x) = 1 and g(x) +4. Then (fo g)(æ) (go f)(x) =

A: (f o g)(x) = x/6 (g o f)(x) =(4x -10)/(x-4)

Q: D = {[x, f(x)]: (-1, 2), (0, 1), (1, 2), (2, 5), (3, 10)} Write the rule for f(x). x + 1 2x x² + 1

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