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Please help!! writing the quadratic function in general form

Please help!! writing the quadratic function in general form-example-1
User Abobreshov
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1 Answer

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Answer:

a) 1, -4, -60

b) 1, -8, 0

c) 1, 0, 49

d) 1, 0, 196

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)

User Sheinis
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