Explanation:
To evaluate the expression when c=4, substitute the value of c into the expression:
c^2 - 6c - 7
Replacing c with 4:
4^2 - 6(4) - 7
Simplifying:
16 - 24 - 7
Combine like terms:
-8 - 7
This gives us the final resul Here's some additional information:
The expression c^2 - 6c - 7 represents a quadratic equation in terms of c. When evaluating the expression with a specific value for c, we substitute that value into the equation to find the result. In this case, when c is equal to 4, we substitute 4 for c throughout the expression.
By simplifying the expression with the given value, we find that the result is -15. This means that when c is equal to 4, the value of the expression c^2 - 6c - 7 is -15.
It's worth noting that quadratic equations often have two solutions, but in this case, we are simply evaluating the expression for a specific value of c. If we were solving the quadratic equation, we would typically set it equal to zero and find the roots or solutions of the equation. However, here we are just finding the result when c is equal to 4.