f(x)=2x^3-2x^2+18x-18The function f is shown. If x - 1 is a factor of f , what is the value of f(1)?

Given Factor of Function: We are given that x - 1 is a factor of the function f(x) = 2x^3 - 2x^2 + 18x - 18. To find the value of f(1), we can simply substitute x = 1 into the function, because if x - 1 is a factor, then f(1) should be equal to 0.Substitute x = 1: Substitute x = 1 into the function f(x): f(1) = 2(1)^3 - 2(1)^2 + 18(1) - 18Calculate f(1): Calculate the value of f(1): f(1) = 2(1) - 2(1) + 18(1) - 18 f(1) = 2 - 2 + 18 - 18Simplify Result: Simplify the expression: f(1) = 0 This result is expected because x - 1 is a factor of f, and therefore f(1) should indeed be 0.

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The function $f(x) = 2x^3 - 2x^2 + 18x - 18$ is shown. If $x - 1$ is a factor of $f$ , what is the value of $f(1)$ ?

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Q. The function

f(x) = 2x^3 - 2x^2 + 18x - 18

is shown. If

x - 1

is a factor of

f

, what is the value of

f(1)

Given Factor of Function: We are given that $x - 1$ is a factor of the function $f(x) = 2x^3 - 2x^2 + 18x - 18$ . To find the value of $f(1)$ , we can simply substitute $x = 1$ into the function, because if $x - 1$ is a factor, then $f(1)$ should be equal to $0$ .
Substitute $x = 1$ : Substitute $x = 1$ into the function $f(x)$ : $f(1) = 2(1)^3 - 2(1)^2 + 18(1) - 18$
Calculate $f(1)$ : Calculate the value of $f(1)$ : $f(1) = 2(1) - 2(1) + 18(1) - 18$ $f(1) = 2 - 2 + 18 - 18$
Simplify Result: Simplify the expression: $f(1) = 0$ This result is expected because $x - 1$ is a factor of $f$ , and therefore $f(1)$ should indeed be $0$ .