# Divide (x^4-x^3-14x^2+7x-4)/(x-4) x4-x3-14×2+7x-4x-4
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.
 x – 4 x4 – x3 – 14×2 + 7x – 4
Divide the highest order term in the dividend x4 by the highest order term in divisor x.
 x3 x – 4 x4 – x3 – 14×2 + 7x – 4
Multiply the new quotient term by the divisor.
 x3 x – 4 x4 – x3 – 14×2 + 7x – 4 + x4 – 4×3
The expression needs to be subtracted from the dividend, so change all the signs in x4-4×3
 x3 x – 4 x4 – x3 – 14×2 + 7x – 4 – x4 + 4×3
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 x3 x – 4 x4 – x3 – 14×2 + 7x – 4 – x4 + 4×3 + 3×3
Pull the next terms from the original dividend down into the current dividend.
 x3 x – 4 x4 – x3 – 14×2 + 7x – 4 – x4 + 4×3 + 3×3 – 14×2
Divide the highest order term in the dividend 3×3 by the highest order term in divisor x.
 x3 + 3×2 x – 4 x4 – x3 – 14×2 + 7x – 4 – x4 + 4×3 + 3×3 – 14×2
Multiply the new quotient term by the divisor.
 x3 + 3×2 x – 4 x4 – x3 – 14×2 + 7x – 4 – x4 + 4×3 + 3×3 – 14×2 + 3×3 – 12×2
The expression needs to be subtracted from the dividend, so change all the signs in 3×3-12×2
 x3 + 3×2 x – 4 x4 – x3 – 14×2 + 7x – 4 – x4 + 4×3 + 3×3 – 14×2 – 3×3 + 12×2
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 x3 + 3×2 x – 4 x4 – x3 – 14×2 + 7x – 4 – x4 + 4×3 + 3×3 – 14×2 – 3×3 + 12×2 – 2×2
Pull the next terms from the original dividend down into the current dividend.
 x3 + 3×2 x – 4 x4 – x3 – 14×2 + 7x – 4 – x4 + 4×3 + 3×3 – 14×2 – 3×3 + 12×2 – 2×2 + 7x
Divide the highest order term in the dividend -2×2 by the highest order term in divisor x.
 x3 + 3×2 – 2x x – 4 x4 – x3 – 14×2 + 7x – 4 – x4 + 4×3 + 3×3 – 14×2 – 3×3 + 12×2 – 2×2 + 7x
Multiply the new quotient term by the divisor.
 x3 + 3×2 – 2x x – 4 x4 – x3 – 14×2 + 7x – 4 – x4 + 4×3 + 3×3 – 14×2 – 3×3 + 12×2 – 2×2 + 7x – 2×2 + 8x
The expression needs to be subtracted from the dividend, so change all the signs in -2×2+8x
 x3 + 3×2 – 2x x – 4 x4 – x3 – 14×2 + 7x – 4 – x4 + 4×3 + 3×3 – 14×2 – 3×3 + 12×2 – 2×2 + 7x + 2×2 – 8x
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 x3 + 3×2 – 2x x – 4 x4 – x3 – 14×2 + 7x – 4 – x4 + 4×3 + 3×3 – 14×2 – 3×3 + 12×2 – 2×2 + 7x + 2×2 – 8x – x
Pull the next terms from the original dividend down into the current dividend.
 x3 + 3×2 – 2x x – 4 x4 – x3 – 14×2 + 7x – 4 – x4 + 4×3 + 3×3 – 14×2 – 3×3 + 12×2 – 2×2 + 7x + 2×2 – 8x – x – 4
Divide the highest order term in the dividend -x by the highest order term in divisor x.
 x3 + 3×2 – 2x – 1 x – 4 x4 – x3 – 14×2 + 7x – 4 – x4 + 4×3 + 3×3 – 14×2 – 3×3 + 12×2 – 2×2 + 7x + 2×2 – 8x – x – 4
Multiply the new quotient term by the divisor.
 x3 + 3×2 – 2x – 1 x – 4 x4 – x3 – 14×2 + 7x – 4 – x4 + 4×3 + 3×3 – 14×2 – 3×3 + 12×2 – 2×2 + 7x + 2×2 – 8x – x – 4 – x + 4
The expression needs to be subtracted from the dividend, so change all the signs in -x+4
 x3 + 3×2 – 2x – 1 x – 4 x4 – x3 – 14×2 + 7x – 4 – x4 + 4×3 + 3×3 – 14×2 – 3×3 + 12×2 – 2×2 + 7x + 2×2 – 8x – x – 4 + x – 4
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 x3 + 3×2 – 2x – 1 x – 4 x4 – x3 – 14×2 + 7x – 4 – x4 + 4×3 + 3×3 – 14×2 – 3×3 + 12×2 – 2×2 + 7x + 2×2 – 8x – x – 4 + x – 4 – 8
The final answer is the quotient plus the remainder over the divisor.
x3+3×2-2x-1-8x-4
Divide (x^4-x^3-14x^2+7x-4)/(x-4)   ## Download our App from the store

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