Daisy works at an ice-cream parlor. She is paid $10 per hour for the first 8 hours she works in a day. For every extra hour she
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Using the factor theorem, the equation for q is:
The <em>Factor Theorem</em> states that a polynomial function with roots is given by:
In which a is the leading coefficient.
In this problem:
- Passes through the origin, so x = 0 is a zero, that is
.
- x = i is a zero, and thus, it's conjugate also is, that is, x = -i, hence
- x = 7 - i is a zero, and thus, it's conjugate also is, that is, x = 7 + i, hence
Then, the equation is:
Considering that
q(-1) = -520 means that when , and this is used to find a.
Hence, the equation is:
A similar problem is given at brainly.com/question/24380382