Please help!! writing the quadratic function in general form

9514 1404 393

  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)

correct answer:

i^31 = -i