consider the polynomial functionsp given by p(x) = 7x to the 3rd power - 2x to the second power +3x+10 Evluate the function at x=3

The given polynomial function is:

\[
p(x) = 7x^3 - 2x^2 + 3x + 10
\]

We need to evaluate the function at \(x = 3\). Substituting \(3\) into the function:

\[
p(3) = 7(3)^3 - 2(3)^2 + 3(3) + 10
\]

Now, calculating each term:

\[
p(3) = 7(27) - 2(9) + 3(3) + 10
\]

\[
p(3) = 189 - 18 + 9 + 10
\]

\[
p(3) = 190
\]

Thus, \(p(3) = 190\).

Would you like more details on this process or have any questions?

Here are 5 related questions for further exploration:
1. How would you evaluate the polynomial at \(x = -2\)?
2. What is the derivative of the polynomial \(p(x)\)?
3. How would you find the roots of \(p(x) = 0\)?
4. What is the degree of the polynomial \(p(x)\)?
5. What happens to \(p(x)\) as \(x\) approaches infinity?

**Tip:** Always follow the order of operations (PEMDAS) when evaluating polynomials or any other expressions.

Consider the polynomial function p(x) = 7x^3 - 2x^2 + 3x + 10. Evaluate the function at x = 3.

Learn how to evaluate the polynomial function p(x) = 7x^3 - 2x^2 + 3x + 10 at x = 3 with detailed calculations and step-by-step instructions. This example covers key concepts like substitution and order of operations, suitable for students in Grades 9-11.

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