Divide (4x^3-12x+11)/(2x-2)

Math
4×3-12x+112x-2
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.
2x24×3+0x212x+11
Divide the highest order term in the dividend 4×3 by the highest order term in divisor 2x.
2×2
2x24×3+0x212x+11
Multiply the new quotient term by the divisor.
2×2
2x24×3+0x212x+11
+4×34×2
The expression needs to be subtracted from the dividend, so change all the signs in 4×3-4×2
2×2
2x24×3+0x212x+11
4×3+4×2
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
2×2
2x24×3+0x212x+11
4×3+4×2
+4×2
Pull the next terms from the original dividend down into the current dividend.
2×2
2x24×3+0x212x+11
4×3+4×2
+4×212x
Divide the highest order term in the dividend 4×2 by the highest order term in divisor 2x.
2×2+2x
2x24×3+0x212x+11
4×3+4×2
+4×212x
Multiply the new quotient term by the divisor.
2×2+2x
2x24×3+0x212x+11
4×3+4×2
+4×212x
+4×24x
The expression needs to be subtracted from the dividend, so change all the signs in 4×2-4x
2×2+2x
2x24×3+0x212x+11
4×3+4×2
+4×212x
4×2+4x
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
2×2+2x
2x24×3+0x212x+11
4×3+4×2
+4×212x
4×2+4x
8x
Pull the next terms from the original dividend down into the current dividend.
2×2+2x
2x24×3+0x212x+11
4×3+4×2
+4×212x
4×2+4x
8x+11
Divide the highest order term in the dividend -8x by the highest order term in divisor 2x.
2×2+2x4
2x24×3+0x212x+11
4×3+4×2
+4×212x
4×2+4x
8x+11
Multiply the new quotient term by the divisor.
2×2+2x4
2x24×3+0x212x+11
4×3+4×2
+4×212x
4×2+4x
8x+11
8x+8
The expression needs to be subtracted from the dividend, so change all the signs in -8x+8
2×2+2x4
2x24×3+0x212x+11
4×3+4×2
+4×212x
4×2+4x
8x+11
+8x8
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
2×2+2x4
2x24×3+0x212x+11
4×3+4×2
+4×212x
4×2+4x
8x+11
+8x8
+3
The final answer is the quotient plus the remainder over the divisor.
2×2+2x-4+32x-2
Divide (4x^3-12x+11)/(2x-2)

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