What are the zeros of the function below? Check all that apply.𝐹(𝑥)=5(𝑥+2)3(𝑥−1)(𝑥+7)F(x)= 3(x−1)(x+7)5(x+2) A.-7B.1C.-2D.3E.-3F.2SUBMITarrow_backPREVIOUS

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What are the zeros of the function below? Check all that apply.

$F(x) = 5(x + 2)^3(x - 1)(x + 7)$

A. -7
B. 1
C. -2
D. 3
E. -3
F. 2

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Solution

The zeros of a function are the x-values that make the function equal to zero. In this case, the function is in factored form, so we can set each factor equal to zero and solve for x.

For the factor (x+2), setting this equal to zero gives x = -2. So, C. -2 is a zero of the function.

For the factor (x-1), setting this equal to zero gives x = 1. So, B. 1 is a zero of the function.

For the factor (x+7), setting this equal to zero gives x = -7. So, A. -7 is a zero of the function.

The other options D. 3, E. -3, and F. 2 are not zeros of the function because substituting these values into the function does not make it equal to zero.

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What are the zeros of the function below? Check all that apply.𝐹(𝑥)=5(𝑥+2)3(𝑥−1)(𝑥+7)F(x)= 3(x−1)(x+7)5(x+2)​ A.-7B.1C.-2D.3E.-3F.2SUBMITarrow_backPREVIOUS

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