Dividing Polynomials Using Long Division Terminology Dividend Numerator

Dividing Polynomials Using Long Division

Terminology Dividend – Numerator Divisor – Denominator Quotient Remainder

Steps to Divide 1. 2. 3. 4. 5. Divide Multiply Subtract Bring Down Shampoo, Rinse, Repeat (if necessary)

Quick Remembrance Set up to divide. 1. 2. 3. 4. Divide 7 by 5. Multiply 1 by 5. Subtract down (7– 5) Bring Down 5. 1. 2. 3. 4. Divide 25 by 5. Multiply 5 by 5. Subtract Down (25– 25) Bring Down 5. 1. Divide 05 by 5. 2. Multiply 1 by 5. 3. Subtract Down (5– 5) 1 51 5 5 25 5 5 Remainder

x +1 1. Divide x 2 by x, which is x. 2. Multiply x by x + 3, which is x 2 + 3 x. 3. Subtract (x 2 + 4 x) - (x 2 + 3 x), which is x. 4. Bring down the 3. 5. Repeat using x + 3 as our new divisor. 1. Divide x by x, which is 1. 2. Multiply 1 by x + 3, which is x + 3. 3. Subtract 4. (x + 3) - (x + 3), 0

x +2 1. Divide x 2 by x, which is x. 2. Multiply x by x + 1, which is x 2 + x. 3. Subtract (x 2 + 3 x) – (x 2 + x), which is 2 x. 4. Bring down the -6. 5. Repeat using 2 x – 6 as our new divisor. -8 1. Divide x by x, which is 2. 2. Multiply 2 by x + 1, which is 2 x + 2. 3. Subtract 4. (2 x – 6) – (2 x + 2),

1. Divide 2. Multiply 3. Subtract 4. Bring Down 5. Repeat (if necessary)

1. Divide 2. Multiply 3. Subtract 4. Bring Down 5. Repeat (if necessary) Remainder

1. Divide 2. Multiply 3. Subtract 4. Bring Down 5. Repeat (if necessary) Remainder

1. Divide 2. Multiply 3. Subtract 4. Bring Down 5. Repeat (if necessary)

1. Divide 2. Multiply 3. Subtract 4. Bring Down 5. Repeat (if necessary)