Divide (12x^4-1x^3-24x^2+26x-8)/(4x^2+5x-4)

Math
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+5x412×41×324×2+26x8
Divide the highest order term in the dividend 12×4 by the highest order term in divisor 4×2.
3×2
4×2+5x412×41×324×2+26x8
Multiply the new quotient term by the divisor.
3×2
4×2+5x412×41×324×2+26x8
+12×4+15×312×2
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+5x412×41×324×2+26x8
12×415×3+12×2
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
3×2
4×2+5x412×41×324×2+26x8
12×415×3+12×2
16×312×2
Pull the next terms from the original dividend down into the current dividend.
3×2
4×2+5x412×41×324×2+26x8
12×415×3+12×2
16×312×2+26x
Divide the highest order term in the dividend -16×3 by the highest order term in divisor 4×2.
3×24x
4×2+5x412×41×324×2+26x8
12×415×3+12×2
16×312×2+26x
Multiply the new quotient term by the divisor.
3×24x
4×2+5x412×41×324×2+26x8
12×415×3+12×2
16×312×2+26x
16×320×2+16x
The expression needs to be subtracted from the dividend, so change all the signs in -16×3-20×2+16x
3×24x
4×2+5x412×41×324×2+26x8
12×415×3+12×2
16×312×2+26x
+16×3+20×216x
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
3×24x
4×2+5x412×41×324×2+26x8
12×415×3+12×2
16×312×2+26x
+16×3+20×216x
+8×2+10x
Pull the next terms from the original dividend down into the current dividend.
3×24x
4×2+5x412×41×324×2+26x8
12×415×3+12×2
16×312×2+26x
+16×3+20×216x
+8×2+10x8
Divide the highest order term in the dividend 8×2 by the highest order term in divisor 4×2.
3×24x+2
4×2+5x412×41×324×2+26x8
12×415×3+12×2
16×312×2+26x
+16×3+20×216x
+8×2+10x8
Multiply the new quotient term by the divisor.
3×24x+2
4×2+5x412×41×324×2+26x8
12×415×3+12×2
16×312×2+26x
+16×3+20×216x
+8×2+10x8
+8×2+10x8
The expression needs to be subtracted from the dividend, so change all the signs in 8×2+10x-8
3×24x+2
4×2+5x412×41×324×2+26x8
12×415×3+12×2
16×312×2+26x
+16×3+20×216x
+8×2+10x8
8×210x+8
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
3×24x+2
4×2+5x412×41×324×2+26x8
12×415×3+12×2
16×312×2+26x
+16×3+20×216x
+8×2+10x8
8×210x+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)

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