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Calculus help please

In one of the final assignments for my calculus class, I got this one question I don't know what to do with this one.

Here's the question:

If a0, a1, a2...,and an are real numbers that satisfy
(a0/1) + (a1/2)...+(an/(n+1)) = 0
show that the equation a0 + a1x + a2x^2...+ anx^n = 0 has at least one real root.

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NOTE:
a0, a1, a2, an= a subscript 0, a subscript 1, a subscript 2, a subscript n
x^2, x^n = x to the 2nd power, x to the nth power.
I must use mean value theorem for integral

December 12, 2012

4 Comments • Newest first

voyance

@miniman311: I don't really know what to enter into the that website lol. This problem is weird.

Reply December 12, 2012
voyance

@MangoFlavor: The factor of both 1 and 2? but there's only one question here. By that, do you mean the polynomial with the fractions and the polynomial with the x's (respectively)? Where did tension come from? what did that have to do with anyhting? Actually, I don't quite get you...sorry

Reply December 12, 2012
ZOMGitjon

i know my calculus
YOU PLUS ME EQUALS US

Reply December 12, 2012
voyance

yeah....

Reply December 12, 2012