Divide (3x^3+8x^2-10x-24)/(x+4)

Math
3×3+8×2-10x-24x+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+43×3+8×210x24
Divide the highest order term in the dividend 3×3 by the highest order term in divisor x.
3×2
x+43×3+8×210x24
Multiply the new quotient term by the divisor.
3×2
x+43×3+8×210x24
+3×3+12×2
The expression needs to be subtracted from the dividend, so change all the signs in 3×3+12×2
3×2
x+43×3+8×210x24
3×312×2
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
3×2
x+43×3+8×210x24
3×312×2
4×2
Pull the next terms from the original dividend down into the current dividend.
3×2
x+43×3+8×210x24
3×312×2
4×210x
Divide the highest order term in the dividend -4×2 by the highest order term in divisor x.
3×24x
x+43×3+8×210x24
3×312×2
4×210x
Multiply the new quotient term by the divisor.
3×24x
x+43×3+8×210x24
3×312×2
4×210x
4×216x
The expression needs to be subtracted from the dividend, so change all the signs in -4×2-16x
3×24x
x+43×3+8×210x24
3×312×2
4×210x
+4×2+16x
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
3×24x
x+43×3+8×210x24
3×312×2
4×210x
+4×2+16x
+6x
Pull the next terms from the original dividend down into the current dividend.
3×24x
x+43×3+8×210x24
3×312×2
4×210x
+4×2+16x
+6x24
Divide the highest order term in the dividend 6x by the highest order term in divisor x.
3×24x+6
x+43×3+8×210x24
3×312×2
4×210x
+4×2+16x
+6x24
Multiply the new quotient term by the divisor.
3×24x+6
x+43×3+8×210x24
3×312×2
4×210x
+4×2+16x
+6x24
+6x+24
The expression needs to be subtracted from the dividend, so change all the signs in 6x+24
3×24x+6
x+43×3+8×210x24
3×312×2
4×210x
+4×2+16x
+6x24
6x24
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
3×24x+6
x+43×3+8×210x24
3×312×2
4×210x
+4×2+16x
+6x24
6x24
48
The final answer is the quotient plus the remainder over the divisor.
3×2-4x+6-48x+4
Divide (3x^3+8x^2-10x-24)/(x+4)

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