Divide (5x^2-17x+2)/(x-4)

Math
5×2-17x+2x-4
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.
x45×217x+2
Divide the highest order term in the dividend 5×2 by the highest order term in divisor x.
5x
x45×217x+2
Multiply the new quotient term by the divisor.
5x
x45×217x+2
+5×220x
The expression needs to be subtracted from the dividend, so change all the signs in 5×2-20x
5x
x45×217x+2
5×2+20x
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
5x
x45×217x+2
5×2+20x
+3x
Pull the next terms from the original dividend down into the current dividend.
5x
x45×217x+2
5×2+20x
+3x+2
Divide the highest order term in the dividend 3x by the highest order term in divisor x.
5x+3
x45×217x+2
5×2+20x
+3x+2
Multiply the new quotient term by the divisor.
5x+3
x45×217x+2
5×2+20x
+3x+2
+3x12
The expression needs to be subtracted from the dividend, so change all the signs in 3x-12
5x+3
x45×217x+2
5×2+20x
+3x+2
3x+12
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
5x+3
x45×217x+2
5×2+20x
+3x+2
3x+12
+14
The final answer is the quotient plus the remainder over the divisor.
5x+3+14x-4
Divide (5x^2-17x+2)/(x-4)

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