Divide (4x^3-6x^2-8x+1)/(2x-4)

Math
4×3-6×2-8x+12x-4
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.
2x44×36×28x+1
Divide the highest order term in the dividend 4×3 by the highest order term in divisor 2x.
2×2
2x44×36×28x+1
Multiply the new quotient term by the divisor.
2×2
2x44×36×28x+1
+4×38×2
The expression needs to be subtracted from the dividend, so change all the signs in 4×3-8×2
2×2
2x44×36×28x+1
4×3+8×2
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
2×2
2x44×36×28x+1
4×3+8×2
+2×2
Pull the next terms from the original dividend down into the current dividend.
2×2
2x44×36×28x+1
4×3+8×2
+2×28x
Divide the highest order term in the dividend 2×2 by the highest order term in divisor 2x.
2×2+x
2x44×36×28x+1
4×3+8×2
+2×28x
Multiply the new quotient term by the divisor.
2×2+x
2x44×36×28x+1
4×3+8×2
+2×28x
+2×24x
The expression needs to be subtracted from the dividend, so change all the signs in 2×2-4x
2×2+x
2x44×36×28x+1
4×3+8×2
+2×28x
2×2+4x
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
2×2+x
2x44×36×28x+1
4×3+8×2
+2×28x
2×2+4x
4x
Pull the next terms from the original dividend down into the current dividend.
2×2+x
2x44×36×28x+1
4×3+8×2
+2×28x
2×2+4x
4x+1
Divide the highest order term in the dividend -4x by the highest order term in divisor 2x.
2×2+x2
2x44×36×28x+1
4×3+8×2
+2×28x
2×2+4x
4x+1
Multiply the new quotient term by the divisor.
2×2+x2
2x44×36×28x+1
4×3+8×2
+2×28x
2×2+4x
4x+1
4x+8
The expression needs to be subtracted from the dividend, so change all the signs in -4x+8
2×2+x2
2x44×36×28x+1
4×3+8×2
+2×28x
2×2+4x
4x+1
+4x8
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
2×2+x2
2x44×36×28x+1
4×3+8×2
+2×28x
2×2+4x
4x+1
+4x8
7
The final answer is the quotient plus the remainder over the divisor.
2×2+x-2-72x-4
Divide (4x^3-6x^2-8x+1)/(2x-4)

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