Finite Math Examples

Divide Using Long Polynomial Division (x^4+3x^2+5)/(x-c)
Step 1
Reorder and .
Step 2
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of .
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Step 3
Divide the highest order term in the dividend by the highest order term in divisor .
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Step 4
Multiply the new quotient term by the divisor.
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Step 5
The expression needs to be subtracted from the dividend, so change all the signs in
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Step 6
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
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Step 7
Pull the next terms from the original dividend down into the current dividend.
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Step 8
Divide the highest order term in the dividend by the highest order term in divisor .
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Step 9
Multiply the new quotient term by the divisor.
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Step 10
The expression needs to be subtracted from the dividend, so change all the signs in
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Step 11
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
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Step 12
Divide the highest order term in the dividend by the highest order term in divisor .
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Step 13
Multiply the new quotient term by the divisor.
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Step 14
The expression needs to be subtracted from the dividend, so change all the signs in
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Step 15
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
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Step 16
Divide the highest order term in the dividend by the highest order term in divisor .
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Step 17
Multiply the new quotient term by the divisor.
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Step 18
The expression needs to be subtracted from the dividend, so change all the signs in
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Step 19
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
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Step 20
Divide the highest order term in the dividend by the highest order term in divisor .
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Step 21
Multiply the new quotient term by the divisor.
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Step 22
The expression needs to be subtracted from the dividend, so change all the signs in
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Step 23
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
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Step 24
Divide the highest order term in the dividend by the highest order term in divisor .
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Step 25
Multiply the new quotient term by the divisor.
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Step 26
The expression needs to be subtracted from the dividend, so change all the signs in
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Step 27
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
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Step 28
The final answer is the quotient plus the remainder over the divisor.