Pre-Algebra Examples

Divide (3x^2+x-5)/(x+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
The final answer is the quotient plus the remainder over the divisor.