## Select the correct answer and then click Done. Write a polynomial function in factored form with zeros at -10.-4, and 1. @ f(x)

Question

Select the correct answer and then click Done.

Write a polynomial function in factored form with zeros at -10.-4, and 1.

@ f(x) = (x + 10)(x + 4)(x – 1)

f(x) = x3 + 13×2 + 26% – 40

© f(x) = (x – 10)(x – 4)(x + 1)

@ f(x) = x3 – 13×2 + 26x +40

Done

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Math
3 days
2021-10-10T06:11:29+00:00
2021-10-10T06:11:29+00:00 1 Answer
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## Answers ( )

Answer:f(x) = (x + 10)(x + 4)(x – 1)

Step-by-step explanation:Given the zeros of a polynomial, say x = a and x = b, then

the factors are (x – a) and (x – b)

The polynomial is then the product of the factors

f(x) = (x – a)(x – b)

Here the zeros are x = – 10, x = – 4 and x = 1, thus the factors are

(x – (- 10)), (x – (- 4)) and (x – 1), that is

(x + 10), (x + 4) and (x – 1)

f(x) = (x + 10)(x + 4)(x – 1)