# Divide (4x^2-7)/(2x-3) 4×2-72x-3
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.
 2x – 3 4×2 + 0x – 7
Divide the highest order term in the dividend 4×2 by the highest order term in divisor 2x.
 2x 2x – 3 4×2 + 0x – 7
Multiply the new quotient term by the divisor.
 2x 2x – 3 4×2 + 0x – 7 + 4×2 – 6x
The expression needs to be subtracted from the dividend, so change all the signs in 4×2-6x
 2x 2x – 3 4×2 + 0x – 7 – 4×2 + 6x
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 2x 2x – 3 4×2 + 0x – 7 – 4×2 + 6x + 6x
Pull the next terms from the original dividend down into the current dividend.
 2x 2x – 3 4×2 + 0x – 7 – 4×2 + 6x + 6x – 7
Divide the highest order term in the dividend 6x by the highest order term in divisor 2x.
 2x + 3 2x – 3 4×2 + 0x – 7 – 4×2 + 6x + 6x – 7
Multiply the new quotient term by the divisor.
 2x + 3 2x – 3 4×2 + 0x – 7 – 4×2 + 6x + 6x – 7 + 6x – 9
The expression needs to be subtracted from the dividend, so change all the signs in 6x-9
 2x + 3 2x – 3 4×2 + 0x – 7 – 4×2 + 6x + 6x – 7 – 6x + 9
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 2x + 3 2x – 3 4×2 + 0x – 7 – 4×2 + 6x + 6x – 7 – 6x + 9 + 2
The final answer is the quotient plus the remainder over the divisor.
2x+3+22x-3
Divide (4x^2-7)/(2x-3)     