# Divide (4x^2-2x-5)/(x+1) 4×2-2x-5x+1
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.
 x + 1 4×2 – 2x – 5
Divide the highest order term in the dividend 4×2 by the highest order term in divisor x.
 4x x + 1 4×2 – 2x – 5
Multiply the new quotient term by the divisor.
 4x x + 1 4×2 – 2x – 5 + 4×2 + 4x
The expression needs to be subtracted from the dividend, so change all the signs in 4×2+4x
 4x x + 1 4×2 – 2x – 5 – 4×2 – 4x
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 4x x + 1 4×2 – 2x – 5 – 4×2 – 4x – 6x
Pull the next terms from the original dividend down into the current dividend.
 4x x + 1 4×2 – 2x – 5 – 4×2 – 4x – 6x – 5
Divide the highest order term in the dividend -6x by the highest order term in divisor x.
 4x – 6 x + 1 4×2 – 2x – 5 – 4×2 – 4x – 6x – 5
Multiply the new quotient term by the divisor.
 4x – 6 x + 1 4×2 – 2x – 5 – 4×2 – 4x – 6x – 5 – 6x – 6
The expression needs to be subtracted from the dividend, so change all the signs in -6x-6
 4x – 6 x + 1 4×2 – 2x – 5 – 4×2 – 4x – 6x – 5 + 6x + 6
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 4x – 6 x + 1 4×2 – 2x – 5 – 4×2 – 4x – 6x – 5 + 6x + 6 + 1
The final answer is the quotient plus the remainder over the divisor.
4x-6+1x+1
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