Evaluate the expression for c = 0: 2c^2 = ?
Understand the Problem
The question is asking to evaluate the mathematical expression 2c² when c is equal to 0. This involves substituting 0 for c in the expression and then calculating the result.
Answer
0
Answer for screen readers
The value of the expression ( 2c^2 ) when ( c = 0 ) is 0.
Steps to Solve
- Substitute the value of c
Replace ( c ) in the expression with 0.
$$ 2c^2 = 2(0)^2 $$
- Calculate ( c^2 )
Now calculate ( 0^2 ).
$$ 0^2 = 0 $$
- Multiply by 2
Substitute ( 0 ) back into the expression and multiply by 2.
$$ 2(0) = 0 $$
The value of the expression ( 2c^2 ) when ( c = 0 ) is 0.
More Information
The expression ( 2c^2 ) is a polynomial. Evaluating the polynomial at ( c = 0 ) gives us a direct way to see how the expression behaves at that point. In this case, it results in 0, indicating that ( 2c^2 ) intersects the y-axis at (0, 0).
Tips
- Forgetting to square the value before multiplying by 2.
- Mistaking ( 0^2 ) for ( 0 ) directly without performing the operation.
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