1. 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!

2. Page 3
For the given quadratic equations, find
sum of the roots and
b) product of the roots.
#4:
#2:

3. 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!

4. Page 3
#16:
#18:
You may not see this answer written this way on a test, so lets rewrite it.

5. 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

6. Page 3
#22:
#24:

7. Page 3
#30:
#32:

8. 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:

9. 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!!

10. Homework
Page 3
#3,6,9,13,15,17,19,29,33,39,41