1. Squaring a binomial

2. 5. x2 + 8x +15 (x+5)(x+3) 6. r2 + 6r - 72 (r + 12)(r - 6)
Factor the trinomial.
5. x2 + 8x +15
(x+5)(x+3)
6. r2 + 6r - 72
(r + 12)(r - 6)
7. 12c2 + 11c - 15
(4c - 3)(3c + 5)

3. Remember these? Systems of Linear Equations
We had 3 methods to solve them.
Method 1 - Graphing
Solve for y.
(6, – 4)

4. Remember these? (6, – 4) Systems of Linear Equations
Method 2 - Substitution
(6, – 4)

5. Remember these? (6, – 4) Systems of Linear Equations
Method 3 - Elimination
All 3 methods giving us the same answer (6,–4).
(6, – 4)

6. Visualize all of the possible solutions to 2 lines
1 solution as an
Ordered pair
Infinitely many solutions—same line
No solution– Parallel Lines

7. Now let’s look at
Systems of
Linear and Quadratic
Equations!

8. Visualize all of the possible solutions to a line & a circle
Line tangent
2 solutions
secant
No solution

9. Visualize all of the possible solutions to two circles
Infinitely Many Solutions
(same circle)
2 solutions
1 solution
tangent
No solution

10. Solve the System Algebraically Use Elimination
Answer: (–6 ,4) (–6 ,10)

11. Solve the System Algebraically Use Substitution
Answer: (–5, 7)

12. Assignment
Worksheet