Trigonometry Examples

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