Divide (3x^3-5x^2-4x-8)/(2x^2+x)

Math
3×3-5×2-4x-82×2+x
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.
2×2+x+03×35×24x8
Divide the highest order term in the dividend 3×3 by the highest order term in divisor 2×2.
3×2
2×2+x+03×35×24x8
Multiply the new quotient term by the divisor.
3×2
2×2+x+03×35×24x8
+3×3+3×22+0
The expression needs to be subtracted from the dividend, so change all the signs in 3×3+3×22+0
3×2
2×2+x+03×35×24x8
3×33×220
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
3×2
2×2+x+03×35×24x8
3×33×220
13×224x
Pull the next terms from the original dividend down into the current dividend.
3×2
2×2+x+03×35×24x8
3×33×220
13×224x8
Divide the highest order term in the dividend -13×22 by the highest order term in divisor 2×2.
3×2134
2×2+x+03×35×24x8
3×33×220
13×224x8
Multiply the new quotient term by the divisor.
3×2134
2×2+x+03×35×24x8
3×33×220
13×224x8
13×2213×4+0
The expression needs to be subtracted from the dividend, so change all the signs in -13×22-13×4+0
3×2134
2×2+x+03×35×24x8
3×33×220
13×224x8
+13×22+13×40
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
3×2134
2×2+x+03×35×24x8
3×33×220
13×224x8
+13×22+13×40
3×48
The final answer is the quotient plus the remainder over the divisor.
3×2-134+-3×4-82×2+x
Divide (3x^3-5x^2-4x-8)/(2x^2+x)

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