Brendan earns 1,826 each month.How much money does he earn in a year??
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Using the Factor Theorem, the polynomial with zeros 3, 4i and -4i, and f(i) = -153 is given by:
f(x) = 4.5(x³ - 3x² + 16x - 48).
<h3>Factor Theorem</h3>The Factor Theorem states that a polynomial function with zeros(also called roots) is given by the following rule, given below.
In which a is the leading coefficient of the polynomial, determining if it is positive(a positive) or negative(a negative).
In the context of this problem, the roots are presented as follows:
Hence the polynomial is defined as follows:
f(x) = a(x - 3)(x - 4i)(x + 4i)
f(x) = a(x - 3)(x² + 16)
f(x) = a(x³ - 3x² + 16x - 48)
When x = 1, y = -153, hence the leading coefficient is calculated as follows:
-153 = a(1 - 3 + 16 - 48)
-34a = -153
34a = 153
a = 153/34
a = 4.5.
Hence the function is:
f(x) = 4.5(x³ - 3x² + 16x - 48).
More can be learned about the Factor Theorem at brainly.com/question/24380382
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