Pre-Algebra Examples

Divide (y^4+13y^3+43y^2+63y+72)/(y+3)
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
Pull the next terms from the original dividend down into the current dividend.
++
+++++
--
++
--
++
--
++
Step 17
Divide the highest order term in the dividend by the highest order term in divisor .
+++
+++++
--
++
--
++
--
++
Step 18
Multiply the new quotient term by the divisor.
+++
+++++
--
++
--
++
--
++
++
Step 19
The expression needs to be subtracted from the dividend, so change all the signs in
+++
+++++
--
++
--
++
--
++
--
Step 20
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
+++
+++++
--
++
--
++
--
++
--
Step 21
Since the remander is , the final answer is the quotient.