Divide (7x^3-8x^2-13x+2)÷(7x-1)

Math
(7×3-8×2-13x+2)÷(7x-1)
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.
7x17×38×213x+2
Divide the highest order term in the dividend 7×3 by the highest order term in divisor 7x.
x2
7x17×38×213x+2
Multiply the new quotient term by the divisor.
x2
7x17×38×213x+2
+7×3x2
The expression needs to be subtracted from the dividend, so change all the signs in 7×3-x2
x2
7x17×38×213x+2
7×3+x2
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
x2
7x17×38×213x+2
7×3+x2
7×2
Pull the next terms from the original dividend down into the current dividend.
x2
7x17×38×213x+2
7×3+x2
7×213x
Divide the highest order term in the dividend -7×2 by the highest order term in divisor 7x.
x2x
7x17×38×213x+2
7×3+x2
7×213x
Multiply the new quotient term by the divisor.
x2x
7x17×38×213x+2
7×3+x2
7×213x
7×2+x
The expression needs to be subtracted from the dividend, so change all the signs in -7×2+x
x2x
7x17×38×213x+2
7×3+x2
7×213x
+7×2x
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
x2x
7x17×38×213x+2
7×3+x2
7×213x
+7×2x
14x
Pull the next terms from the original dividend down into the current dividend.
x2x
7x17×38×213x+2
7×3+x2
7×213x
+7×2x
14x+2
Divide the highest order term in the dividend -14x by the highest order term in divisor 7x.
x2x2
7x17×38×213x+2
7×3+x2
7×213x
+7×2x
14x+2
Multiply the new quotient term by the divisor.
x2x2
7x17×38×213x+2
7×3+x2
7×213x
+7×2x
14x+2
14x+2
The expression needs to be subtracted from the dividend, so change all the signs in -14x+2
x2x2
7x17×38×213x+2
7×3+x2
7×213x
+7×2x
14x+2
+14x2
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
x2x2
7x17×38×213x+2
7×3+x2
7×213x
+7×2x
14x+2
+14x2
0
Since the remander is 0, the final answer is the quotient.
x2-x-2
Divide (7x^3-8x^2-13x+2)÷(7x-1)

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