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One factor of fx=x³ -14x²+61x-84 is x-7. What are the zeros of the function?

User Evita
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Final answer:

To find the zeros of the function, we need to set the polynomial equal to zero and solve for x.

Step-by-step explanation:

The given polynomial is f(x) = x³ - 14x² + 61x - 84. One of the factors of this polynomial is (x - 7). To find the zeros of the function, we need to set the polynomial equal to zero and solve for x:

x³ - 14x² + 61x - 84 = 0

Since (x - 7) is a factor, we can use long division or synthetic division to divide the polynomial by (x - 7). By dividing, we get a quadratic equation which can be factored or solved using the quadratic formula to find the remaining zeros.

Let me know if you need any further assistance!

User Sorabh
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