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anonymous
 5 years ago
Hey, I need help understanding how to get to the answer of the following problem:
3x^4 + x^3 + 4x  33 divided by x^2 + 4
I already have the answer key..need help in how to solve it!
anonymous
 5 years ago
Hey, I need help understanding how to get to the answer of the following problem: 3x^4 + x^3 + 4x  33 divided by x^2 + 4 I already have the answer key..need help in how to solve it!

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[3x^{4} + x^{3} + 4x  33 \div x^{2} + 4\]First you take a look at which x has the higher power, in this case: \[3x^{4}\]so, to find the first term you devide: \[3x^{4} \div x^{2} = 3x^{2}\] multiply the devider by the term to obtain the first subtraction:\[(3x^{2})(x^{2}+4) = 3x^{4} + 12x^{2}\]hence, \[(3x^{4} + x^{3} + 4x  33)  (3x^{4} + 12x^{2}) = x^{3}  12x^{2} + 4x  33 \] now we have the x with highest power to be \[x^{3}\]therefore:\[(x^{3}) \div x^{2} = x\]multiply this new term by the devidor term to find the second subtraction:\[(x)*(x^{2} + 4) = x^{3} + 4x\]hence,\[(x^{3}  12x^{2} + 4x  33)  ( x^{3} + 4x) = 12x^{2} 33\] now, for last we have \[(12x^{2}) \div (x^{2}) = 12 * (x^{2} +4) = 12x^{2}  48\]hence,\[( 12x^{2} 33)  (12x^{2}  48) = 15\] did yu understand?
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