Divide (4x^2-7)/(2x-3)

Math
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.
2x34×2+0x7
Divide the highest order term in the dividend 4×2 by the highest order term in divisor 2x.
2x
2x34×2+0x7
Multiply the new quotient term by the divisor.
2x
2x34×2+0x7
+4×26x
The expression needs to be subtracted from the dividend, so change all the signs in 4×2-6x
2x
2x34×2+0x7
4×2+6x
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
2x
2x34×2+0x7
4×2+6x
+6x
Pull the next terms from the original dividend down into the current dividend.
2x
2x34×2+0x7
4×2+6x
+6x7
Divide the highest order term in the dividend 6x by the highest order term in divisor 2x.
2x+3
2x34×2+0x7
4×2+6x
+6x7
Multiply the new quotient term by the divisor.
2x+3
2x34×2+0x7
4×2+6x
+6x7
+6x9
The expression needs to be subtracted from the dividend, so change all the signs in 6x-9
2x+3
2x34×2+0x7
4×2+6x
+6x7
6x+9
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
2x+3
2x34×2+0x7
4×2+6x
+6x7
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)

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