Divide (5x^3-26x^2-29x+30)/(x-6)

Math
5×3-26×2-29x+30x-6
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.
x65×326×229x+30
Divide the highest order term in the dividend 5×3 by the highest order term in divisor x.
5×2
x65×326×229x+30
Multiply the new quotient term by the divisor.
5×2
x65×326×229x+30
+5×330×2
The expression needs to be subtracted from the dividend, so change all the signs in 5×3-30×2
5×2
x65×326×229x+30
5×3+30×2
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
5×2
x65×326×229x+30
5×3+30×2
+4×2
Pull the next terms from the original dividend down into the current dividend.
5×2
x65×326×229x+30
5×3+30×2
+4×229x
Divide the highest order term in the dividend 4×2 by the highest order term in divisor x.
5×2+4x
x65×326×229x+30
5×3+30×2
+4×229x
Multiply the new quotient term by the divisor.
5×2+4x
x65×326×229x+30
5×3+30×2
+4×229x
+4×224x
The expression needs to be subtracted from the dividend, so change all the signs in 4×2-24x
5×2+4x
x65×326×229x+30
5×3+30×2
+4×229x
4×2+24x
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
5×2+4x
x65×326×229x+30
5×3+30×2
+4×229x
4×2+24x
5x
Pull the next terms from the original dividend down into the current dividend.
5×2+4x
x65×326×229x+30
5×3+30×2
+4×229x
4×2+24x
5x+30
Divide the highest order term in the dividend -5x by the highest order term in divisor x.
5×2+4x5
x65×326×229x+30
5×3+30×2
+4×229x
4×2+24x
5x+30
Multiply the new quotient term by the divisor.
5×2+4x5
x65×326×229x+30
5×3+30×2
+4×229x
4×2+24x
5x+30
5x+30
The expression needs to be subtracted from the dividend, so change all the signs in -5x+30
5×2+4x5
x65×326×229x+30
5×3+30×2
+4×229x
4×2+24x
5x+30
+5x30
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
5×2+4x5
x65×326×229x+30
5×3+30×2
+4×229x
4×2+24x
5x+30
+5x30
0
Since the remander is 0, the final answer is the quotient.
5×2+4x-5
Divide (5x^3-26x^2-29x+30)/(x-6)

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