10.7 Which Quadratics Factor, Which Don’t 1. Factoring is the __________ of multiplying 2. List the factors of each of the following πŸπŸ–

πŸ—πŸŽ

πŸπŸ•

πŸ‘πŸ

3. Numbers like 17 and 31 are called __________ because their only factors are ___ and itself 4. The discriminant is: if Negative = ____ solutions or x-intercepts if Zero = ____ solutions and there are x-intercepts (because 0 is a __________ __________) if Positive = ____ solutions, if it’s a perfect square then it can be __________

5. Solve each of the following using the quadratic formula πŸπ’™πŸ βˆ’ πŸ“π’™ + πŸ‘ = 𝟎

βˆ’πŸ—π’™πŸ + πŸπŸ’π’™ βˆ’ πŸπŸ” = 𝟎

βˆ’πŸ‘π’™πŸ = βˆ’πŸ“π’™ + πŸ”

6. Any quadratic that can’t be factored is called ___________ 7. For each of the following, find the discriminant, then factor (if possible) π’™πŸ + πŸ‘π’™ βˆ’ πŸ“πŸ’

πŸ•π’™πŸ βˆ’ πŸπ’™ + πŸ’

πŸπŸ”π’™πŸ βˆ’ πŸ’πŸŽπ’™ + πŸπŸ“

8. For each of the following, find the discriminant, then factor (if possible) πŸ‘π’™πŸ βˆ’ πŸ—π’™ + πŸ‘

πŸπŸ“π’™πŸ + πŸ’πŸπ’™ βˆ’ πŸ‘πŸŽ

πŸ’π’™πŸ + πŸπŸ–π’™ + πŸ’πŸ—

9. Rearrange the following into factored form π’š = πŸπŸπ’™πŸ + πŸ“π’™

π’š = πŸπŸπŸπ’™πŸ + πŸπŸ‘πŸŽπ’™ βˆ’ πŸ‘πŸ‘

10. Suppose you design a robot to launch a football up in the air so your football team can practice catching it. Suppose the robot throws the ball at 22 ft/sec from a height of 3 ft. How long will it take to hit the ground? Use the formula 𝒉 = βˆ’πŸπŸ”π’•πŸ + π’—πŸŽ 𝒕 + π’‰πŸŽ and factor it.

11. Simplify the following πŸπŸπ’™

πŸ–π’™πŸ

πŸπŸ–πŸπ’™πŸ• π’šπŸ”

πŸ’(𝒙+πŸ“)

πŸπŸ“π’™

πŸπŸ’π’™πŸ“

πŸπŸπŸŽπ’™πŸ— π’š

πŸ“(𝒙+πŸ“)

10.7 Which Quadratics Factor, Which Don't

10.7 Which Quadratics Factor, Which Don't. 1. Factoring is the ______ of multiplying. 2. List the factors of each of the following. . . . . 3.

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