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A polynomial function $f(x)$ is defined as $f(x) = ax^3 + bx^2 + cx + d$ . If $f(1) = 0$ for some real number $x$ , then what is the value of $d$ ?

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Full solution

Q. A polynomial function

f(x)

is defined as

f(x) = ax^3 + bx^2 + cx + d

. If

f(1) = 0

for some real number

x

, then what is the value of

d

?

Identify Function, Value: Identify the polynomial function and the value of $f(x)$ given. $\newline$ $f(x) = 0$ for some $x$ .
Solve Equation for x: Solve the equation $f(x) = 0$ to find the value of $x$ . $\newline$ Since the polynomial function is not provided, we cannot solve for $x$ .

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