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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 + 13x2 + 26% - 40
© f(x) = (x - 10)(x - 4)(x + 1)
@ f(x) = x3 – 13x2 + 26x +40
Done

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)