# Divide (12x^4-1x^3-24x^2+26x-8)/(4x^2+5x-4) 12×4-1×3-24×2+26x-84×2+5x-4
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.
 4×2 + 5x – 4 12×4 – 1×3 – 24×2 + 26x – 8
Divide the highest order term in the dividend 12×4 by the highest order term in divisor 4×2.
 3×2 4×2 + 5x – 4 12×4 – 1×3 – 24×2 + 26x – 8
Multiply the new quotient term by the divisor.
 3×2 4×2 + 5x – 4 12×4 – 1×3 – 24×2 + 26x – 8 + 12×4 + 15×3 – 12×2
The expression needs to be subtracted from the dividend, so change all the signs in 12×4+15×3-12×2
 3×2 4×2 + 5x – 4 12×4 – 1×3 – 24×2 + 26x – 8 – 12×4 – 15×3 + 12×2
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 3×2 4×2 + 5x – 4 12×4 – 1×3 – 24×2 + 26x – 8 – 12×4 – 15×3 + 12×2 – 16×3 – 12×2
Pull the next terms from the original dividend down into the current dividend.
 3×2 4×2 + 5x – 4 12×4 – 1×3 – 24×2 + 26x – 8 – 12×4 – 15×3 + 12×2 – 16×3 – 12×2 + 26x
Divide the highest order term in the dividend -16×3 by the highest order term in divisor 4×2.
 3×2 – 4x 4×2 + 5x – 4 12×4 – 1×3 – 24×2 + 26x – 8 – 12×4 – 15×3 + 12×2 – 16×3 – 12×2 + 26x
Multiply the new quotient term by the divisor.
 3×2 – 4x 4×2 + 5x – 4 12×4 – 1×3 – 24×2 + 26x – 8 – 12×4 – 15×3 + 12×2 – 16×3 – 12×2 + 26x – 16×3 – 20×2 + 16x
The expression needs to be subtracted from the dividend, so change all the signs in -16×3-20×2+16x
 3×2 – 4x 4×2 + 5x – 4 12×4 – 1×3 – 24×2 + 26x – 8 – 12×4 – 15×3 + 12×2 – 16×3 – 12×2 + 26x + 16×3 + 20×2 – 16x
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 3×2 – 4x 4×2 + 5x – 4 12×4 – 1×3 – 24×2 + 26x – 8 – 12×4 – 15×3 + 12×2 – 16×3 – 12×2 + 26x + 16×3 + 20×2 – 16x + 8×2 + 10x
Pull the next terms from the original dividend down into the current dividend.
 3×2 – 4x 4×2 + 5x – 4 12×4 – 1×3 – 24×2 + 26x – 8 – 12×4 – 15×3 + 12×2 – 16×3 – 12×2 + 26x + 16×3 + 20×2 – 16x + 8×2 + 10x – 8
Divide the highest order term in the dividend 8×2 by the highest order term in divisor 4×2.
 3×2 – 4x + 2 4×2 + 5x – 4 12×4 – 1×3 – 24×2 + 26x – 8 – 12×4 – 15×3 + 12×2 – 16×3 – 12×2 + 26x + 16×3 + 20×2 – 16x + 8×2 + 10x – 8
Multiply the new quotient term by the divisor.
 3×2 – 4x + 2 4×2 + 5x – 4 12×4 – 1×3 – 24×2 + 26x – 8 – 12×4 – 15×3 + 12×2 – 16×3 – 12×2 + 26x + 16×3 + 20×2 – 16x + 8×2 + 10x – 8 + 8×2 + 10x – 8
The expression needs to be subtracted from the dividend, so change all the signs in 8×2+10x-8
 3×2 – 4x + 2 4×2 + 5x – 4 12×4 – 1×3 – 24×2 + 26x – 8 – 12×4 – 15×3 + 12×2 – 16×3 – 12×2 + 26x + 16×3 + 20×2 – 16x + 8×2 + 10x – 8 – 8×2 – 10x + 8
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 3×2 – 4x + 2 4×2 + 5x – 4 12×4 – 1×3 – 24×2 + 26x – 8 – 12×4 – 15×3 + 12×2 – 16×3 – 12×2 + 26x + 16×3 + 20×2 – 16x + 8×2 + 10x – 8 – 8×2 – 10x + 8 0
Since the remander is 0, the final answer is the quotient.
3×2-4x+2
Divide (12x^4-1x^3-24x^2+26x-8)/(4x^2+5x-4)   ## Download our App from the store

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