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Name_______________________________________
Writing a quadratic equation given the roots
Date_____
10H Per__
Standard form of a quadratic equation - ___________________________________
Sum of the roots of a quadratic equation = __________________________
Product of the roots of a quadratic equation = _______________________
For 1 – 6, write a quadratic equation with integral coefficients given the root(s).
2. One root is 2  3
1. -3, 4
3.
3  2i 3  2i
,
2
2

5. 3 – 2i and 3 +2i
4.
3 3
,
4 8
 
6. b and -b
7. Express each in simplest terms:
a) 2 y 3 288x 4  3x 72 x 2 y 6
d)

b) 3  2 y 4 12 y 2  3  3 y
4
e)
3 3
c)
3i
2  2i
56 x 6 y 7 z 13
3( x  3) 1  6( x  3) 2  45( x  3) 3
9. Simplify:
x2  x  6
1 3
8. Factor: 8a 
b
64
6
10. Solve for all values of q:
3

3q  7  q  3
11. Find the largest integral value of k such that kx2 – 2x + 5 = 0 has two real roots.