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Question 266856: Please help me figure out the 5th question. Thanks in advance!!
Polynomials Problem:
1. List three factors of g(x) of the form x−r: x + 1, x - 1, x - 2
2. The smallest possible value for the degree of g is 3.
3. A function of the form ax^n that approximates g(x) for large values of |x| is f(x)= 3x^3.
4. This tells us that the degree of g is 3 and the coefficient of the highest degree term of g(x) is 3.
5. Use the results of your investigation above to determine a formula for the function g:
g(x)= ______________ ?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 1. List three factors of g(x) of the form x−r: x + 1, x - 1, x - 2
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2. The smallest possible value for the degree of g is 3.
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3. A function of the form ax^n that approximates g(x) for large values of |x| is f(x)= 3x^3.
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How did you come up with the "3" coefficient?
I would think the answer to question 3 would be f(x) = x^3
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4. This tells us that the degree of g is 3 and the coefficient of the highest degree term of g(x) is 3.
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I would say the coefficient is "1".
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5. Use the results of your investigation above to determine a formula for the function g:
g(x)= (x + 1)(x - 1)(x - 2) unless there really is a 3 on the coefficient
of x^3.
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Cheers,
Stan H.
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