Warm-up

1. The height of a cube is set at (x + 1). Find the polynomial that represents the volume of the cube.

2. A rectangular swimming pool is three times as long as it is wide. A small concrete walkway surrounds the pool. The walkway is a constant 3 feet wide and has an area of 396 square feet. Find the dimensions of the pool.

Section 6-3: Dividing Polynomials

Goal 1.03: Operate with algebraic expressions (polynomial, rational,

complex fractions) to solve problems.

Long Division

• Review solving 58,941 divided by 3.

Long Division

Synthetic Divison

• Step 1: Reverse the sign of the constant term in the divisor. Write the coefficients of the polynomial in standard form.

• Step 2: Bring down the first coefficient.• Step 3: Multiply the first coefficient by the new

divisor. Write the result under the next coefficient. Add.

• Step 4: Repeat the steps of multiplying and adding until the remainder is found.

Synthetic Division

Determine if each binomial is a factor of 24103 23 xxx

1.

2.

3.

4. 2

6

3

4

x

x

x

x

Classwork/ Homework

• P. 318 Section 6-3• #3, 4, 8, 10, 11, 14, 17, 20, 25, 26, 29, 32