SOLUTION: What is the result of 16x^4 + 32x^3 + 24x^2 + 8x + 1 divided by 2x + 1? a. x^3 + 3x^2 + 3x + 1 b. 8x^3 + 12x^2 + 6x + 1 c. x^3 + 6x^2 + 4x d. 4x^3 + 6x^2 + 4x + 1

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Question 152868: What is the result of 16x^4 + 32x^3 + 24x^2 + 8x + 1 divided by 2x + 1?
a. x^3 + 3x^2 + 3x + 1
b. 8x^3 + 12x^2 + 6x + 1
c. x^3 + 6x^2 + 4x
d. 4x^3 + 6x^2 + 4x + 1

Answer by nabla(475)   (Show Source): You can put this solution on YOUR website!
You don't have to perform the long division of this. Just note that the degree of the resultant polynomial will be 3. Moreover, 16/2=8 must be the first coefficient.
So, b must be the answer as it is the only one that meets these requirements.

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