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Evaluate [tex]\( 2x^2 - 1 \)[/tex] when [tex]\( x = 3 \)[/tex].

A. 5
B. 25
C. 17
D. 35


Sagot :

To evaluate the expression [tex]\(2x^2 - 1\)[/tex] when [tex]\(x = 3\)[/tex], follow these steps:

1. Substitute [tex]\(x = 3\)[/tex] into the expression:
[tex]\[ 2(3)^2 - 1 \][/tex]

2. Calculate the exponent:
[tex]\[ 3^2 = 9 \][/tex]

3. Multiply by 2:
[tex]\[ 2 \cdot 9 = 18 \][/tex]

4. Subtract 1 from the result:
[tex]\[ 18 - 1 = 17 \][/tex]

So, the value of [tex]\(2x^2 - 1\)[/tex] when [tex]\(x = 3\)[/tex] is [tex]\(\boxed{17}\)[/tex]. Hence, the correct answer is:

C. 17