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Sum and Product of the roots
Steps: Set the equation equal to 0 Determine a,b and c Use appropriate formula Sum of the roots! Product of the roots!
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Page 3 For the given quadratic equations, find sum of the roots and b) product of the roots. #4: #2:
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Page 3 Write a quadratic equation given the sum and the product. To do this, we use the equation: #10: Sum of roots Product of roots #14: Notice the sign of the sum changes! The sign of the product stays the same!
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Page 3 #16: #18: You may not see this answer written this way on a test, so lets rewrite it.
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Write a quadratic equation whose roots are given:
Page 3 #20: Steps: Find the sum of the roots (by adding them) Find product of the roots (by multiplying them) Use sum/product equation to write the equation
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Page 3 #22: #24:
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Page 3 #30: #32:
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For the given equation, one root is given. Find the other root.
Page 3 #42: #38: Remember the equation: The sum is the number with the x term, and remember that the sign changes! SO If we know that one root is 5, and the sum of the roots is 11, then:
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Remember, some roots always come in pairs:
The same is true for the following: What does root 2 have to be? It has to be the conjugate of root 1. Imaginary roots and radical roots always come in pairs!!
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Homework Page 3 #3,6,9,13,15,17,19,29,33,39,41
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