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If $y=x(x-3)(x-2)$ , what is the value of $y$ when $x=3$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $-18$ $\newline$ (B) $0$ $\newline$ (C) $3$ $\newline$ (D) $18$

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Full solution

Q. If

y=x(x-3)(x-2)

, what is the value of

y

when

x=3

?

\newline

Choose

1

answer:

\newline

(A)

-18

\newline

(B)

0

\newline

(C)

3

\newline

(D)

18

Given Function: Given the function $y=x(x-3)(x-2)$ , we need to find the value of $y$ when $x=3$ .
Substitute $x=3$ : Substitute $x=3$ into the function to find $y$ . $\newline$ $y = 3(3-3)(3-2)$
Simplify Expression: Simplify the expression by performing the operations inside the parentheses first. $\newline$ $y = 3(0)(1)$
Final Simplification: Since any number multiplied by zero is zero, the entire expression simplifies to zero. $\newline$ $y = 0$
Answer Correspondence: The value of $y$ when $x=3$ is $0$ , which corresponds to answer choice (B).

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