9514 1404 393
Answer:
a) 1, -4, -60
b) 1, -8, 0
c) 1, 0, 49
d) 1, 0, 196
Step-by-step explanation:
For roots p and q, the equation is ...
y = (x -p)(x -q) = x² -(p+q)x +pq
When p and q are not fractions, the 'a' coefficient in your general form is 1.
The 'b' coefficient is the opposite of the sum p+q, so is -(p+q).
The 'c' coefficient is the product pq.
You can write the equations directly using this information.
a) (a, b, c) = (1, -4, -60)
b) (a, b, c) = (1, -8, 0)
c) (a, b, c) = (1, 0, 49) . . . . . where (7i)(-7i) = -49i² = 49
d) (a, b, c) = (1, 0, 196)
