Pre-Algebra Examples

Divide (n^3+7n^2+14n+3)÷(n+2)
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
Divide the highest order term in the dividend by the highest order term in divisor .
++
++++
--
++
--
++
Step 13
Multiply the new quotient term by the divisor.
++
++++
--
++
--
++
++
Step 14
The expression needs to be subtracted from the dividend, so change all the signs in
++
++++
--
++
--
++
--
Step 15
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
++
++++
--
++
--
++
--
-
Step 16
The final answer is the quotient plus the remainder over the divisor.