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Published bySanteri Aro Modified over 5 years ago
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Name__________________________________________________
Algebra: Factoring Find the product of (x+5) and (x+1). ______________________________ simplify _____________________________ Now, how do we go from ___________________ back to (x+5)(x+1) ? Look at (x + 5) (x + 1), see if you can come up with a hypothesis as to where 5 and 1 fit into the expression above. π¦= π₯ x + 5 ____ = ( ) ( ) Letβs find the roots of the parabola. Graph π¦= π₯ x + 5 and state the roots. Now we will find the roots algebraically. We learned above that π₯ x + 5 factors to (x+1) and (x+5). What does y equal at the roots? ______ T IT UP!!! (x+1) (x+5)
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Challenge Practice β Find the roots of the following Steps
Find the numbers that multiply to the number without the x Pick the two numbers that add to the number with the x T it up Solve to find your roots Example 1 0 = π₯ 2 +6x+8 Challenge π₯ 2 +2x+1 2. π₯ 2 +6x+9 3. π₯ 2 +9x+18 4. π₯ 2 +9x+8 5. π₯ 2 +9x+14 6. π₯ 2 +7x+12 7. π₯ 2 +8x+12 8. π₯ 2 +8x+15 9. π₯ 2 +17x +70 10. π₯ 2 +26x+120 11. π₯ 2 +17x+66 12. π₯ 2 +15x+36
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