Find the Remainder 16x^3-9x+2 , x-1/4

,

Step 1
Divide the higher order polynomial by the other polynomial in order to find the remainder.

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
Pull the next terms from the original dividend down into the current dividend.
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Step 13
Divide the highest order term in the dividend by the highest order term in divisor .
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Step 14
Multiply the new quotient term by the divisor.
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Step 15
The expression needs to be subtracted from the dividend, so change all the signs in
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Step 16
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
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Step 17
Since the remander is , the final answer is the quotient.

Step 18
The remainder is the part of the answer that is left after the division by is complete.


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