Squaring a binomial

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)

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

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

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

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

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

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

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

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

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

Assignment Worksheet