1. The area of a rectangle is 2 𝑥 2 −11𝑥+15 square feet
The area of a rectangle is 2 𝑥 2 −11𝑥+15 square feet. The length of the rectangle is 2𝑥−5 feet. What is the width of the rectangle?
Problem of the Day

2. Section 5-2b Dividing Polynomials

3. Then Now Objectives You divided polynomials using long division.
Divide polynomials using synthetic division.

4. Common Core State Standards
Content Standards
A.APR.6 – Rewrite simple rational expressions in different forms using inspections, long division, or, for the more complicated examples, a computer algebra system.
Mathematical Practices
6) Attend to precision.
Common Core State Standards

5. Use synthetic division to find the quotient: ( 𝑥 3 −4 𝑥 2 +6𝑥−4)÷(𝑥−2)
Example 4

6. Use synthetic division to find the quotient: (2 𝑥 3 +3 𝑥 2 −4𝑥+15)÷(𝑥+3)
Example 4

7. Use synthetic division to find the quotient: (4 𝑎 4 +2 𝑎 2 −4𝑎+12)÷(𝑎+2)
Example 4

8. Use synthetic division to find the quotient: (6 𝑏 4 −8 𝑏 3 +12𝑏−14)÷(𝑏−2)
Example 4

9. Use synthetic division to find the quotient: (4 𝑦 3 −6 𝑦 2 +4𝑦−1)÷(2𝑦−1)
Example 5

10. Use synthetic division to find the quotient: (6 𝑐 3 −17 𝑐 2 +6𝑐+8)÷(3𝑐−4)
Example 5

11. Use synthetic division to find the quotient: (15 𝑏 3 +8 𝑏 2 −21𝑏+6)÷(5𝑏−4)
Example 5

12. Use synthetic division to find the quotient: (8 𝑥 4 −4 𝑥 2 +𝑥+4)÷(2𝑥+1)
Example 5

13. p.315 #3 – 6, 9 – 11, 57 (Use synthetic division for #3 – 6 and #9 – 11.)
Homework