Divide Using Long Polynomial Division (8x^2-12x+32)/4


Step 1
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of .
-+

Step 2
Divide the highest order term in the dividend by the highest order term in divisor .
-+

Step 3
Multiply the new quotient term by the divisor.
-+
+

Step 4
The expression needs to be subtracted from the dividend, so change all the signs in
-+
-

Step 5
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
-+
-

Step 6
Pull the next terms from the original dividend down into the current dividend.
-+
-
-

Step 7
Divide the highest order term in the dividend by the highest order term in divisor .
-
-+
-
-

Step 8
Multiply the new quotient term by the divisor.
-
-+
-
-
-

Step 9
The expression needs to be subtracted from the dividend, so change all the signs in
-
-+
-
-
+

Step 10
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
-
-+
-
-
+

Step 11
Pull the next terms from the original dividend down into the current dividend.
-
-+
-
-
+
+

Step 12
The final answer is the quotient plus the remainder over the divisor.


Related Questions