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CPM Unit 9 Key Quest
Solving Quadratics
| Question | Answer |
|---|---|
| What rule says that you can set each factor equal to zero and solve to find the roots or zeroes. | Zero Product Property |
| What form is: y=a(x-r₁)(x-r₂) | Root or factored form |
| What is is the next step in solving: x² +5x=-6 | Get the equation equal to zero; Add six to both sides OR Move the -6 over and make it positive. |
| What is the next step in solving: x²+ 5x + 6 = 0 | Find the factors of +6 that add to +5. Put them in the binomials. |
| What is the next step in solving: (x+2)(x+3)=0 | Set each factor equal to zero and solve; OR Find the opposite of +2 and +3. |
| What are the roots or solutions to: (x+2)(x+3)=0 | x = {-2, -3} |
| What is the next step in solving: - 11x - 6 = -2x² | Get the equation equal to zero; Add 2x² to both sides OR Move the -2x² over and make it positive. |
| What is the next step in solving: 2x²- 11x - 6 = 0 | Find the factors of -12 that subtract to -11 Put the factors in the binomials and divide both by a |
| What is the next step in solving: (x-6/2)(x+1/2)=0 | Simplify the fractions. Set each factor equal to zero and solve. OR Find the opposite of -6/2 and +1/2. |
| What is the next step in solving: 2(x+4)²+5=165 | Subtract 5 from both sides. Move the 5 over and change the sign. |
| What is the next step in solving: 2(x+4)²=160 | Divide both sides by 2. |
| What is the next step in solving: (x+4)²=80 | Take the square root of both sides. |
| What is the next step in solving: x+4=√(80) | Simplify the radical: √(80). |
| How do you simplify square root of 80? | FInd the largest perfect square that is a factor (16*5).Take the square root of 16 and leave the 5 under the radical. OR Find all of the prime factors and take out your pairs. √(2*2*2*2*5)=4*√(5) |
| What is the next step in solving: x+4=±4*√(5) | Subtract 4 from both sides. Move the 4 over and change the sign. |
| If you need decimal answers, how would you find them? x=-4±4*√(5) | Split into two equations and solve: x=-4+4*√(5) and x=-4-4*√(5) Use a calculator or approximate the value of √(5). |
| Sing the Quadratic Formula Song | Minus b plus or minus the square root of b squared minus 4*a*c all over two a. -b±√(b²-4ac) / 2a |
Created by:
meminot
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