# Divide (3x^3-5x^2-4x-8)/(2x^2+x) 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 + 0 3×3 – 5×2 – 4x – 8
Divide the highest order term in the dividend 3×3 by the highest order term in divisor 2×2.
 3×2 2×2 + x + 0 3×3 – 5×2 – 4x – 8
Multiply the new quotient term by the divisor.
 3×2 2×2 + x + 0 3×3 – 5×2 – 4x – 8 + 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 + 0 3×3 – 5×2 – 4x – 8 – 3×3 – 3×22 – 0
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 3×2 2×2 + x + 0 3×3 – 5×2 – 4x – 8 – 3×3 – 3×22 – 0 – 13×22 – 4x
Pull the next terms from the original dividend down into the current dividend.
 3×2 2×2 + x + 0 3×3 – 5×2 – 4x – 8 – 3×3 – 3×22 – 0 – 13×22 – 4x – 8
Divide the highest order term in the dividend -13×22 by the highest order term in divisor 2×2.
 3×2 – 134 2×2 + x + 0 3×3 – 5×2 – 4x – 8 – 3×3 – 3×22 – 0 – 13×22 – 4x – 8
Multiply the new quotient term by the divisor.
 3×2 – 134 2×2 + x + 0 3×3 – 5×2 – 4x – 8 – 3×3 – 3×22 – 0 – 13×22 – 4x – 8 – 13×22 – 13×4 + 0
The expression needs to be subtracted from the dividend, so change all the signs in -13×22-13×4+0
 3×2 – 134 2×2 + x + 0 3×3 – 5×2 – 4x – 8 – 3×3 – 3×22 – 0 – 13×22 – 4x – 8 + 13×22 + 13×4 – 0
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 3×2 – 134 2×2 + x + 0 3×3 – 5×2 – 4x – 8 – 3×3 – 3×22 – 0 – 13×22 – 4x – 8 + 13×22 + 13×4 – 0 – 3×4 – 8
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)   ## Download our App from the store

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