If x =3 and y =-2 what is the polynomial for xy2-2×

Given the values \( x = 3 \) and \( y = -2 \), the expression provided is:

\[
xy^2 - 2x
\]

Let's substitute the values into the expression:

1. First, calculate \( xy^2 \):
   \[
   xy^2 = 3 \times (-2)^2 = 3 \times 4 = 12
   \]

2. Now, calculate \( -2x \):
   \[
   -2x = -2 \times 3 = -6
   \]

3. Finally, subtract the two results:
   \[
   xy^2 - 2x = 12 - 6 = 6
   \]

So, the value of the expression \( xy^2 - 2x \) is \( \boxed{6} \).

Would you like more details or have any questions?

Here are 5 related questions to expand on this:

1. What would be the result if \( x = 4 \) and \( y = -3 \)?
2. How does the expression change if we have \( x = 3 \) and \( y = 0 \)?
3. Can you find the value of the expression for \( x = -2 \) and \( y = 1 \)?
4. How does the degree of the polynomial affect the result?
5. What happens if the coefficients in the polynomial are changed?

**Tip:** When substituting values into an expression, always remember to handle negative signs carefully, especially when squaring negative numbers.

Explore how to solve the polynomial expression xy^2 - 2x with x = 3 and y = -2. This problem involves substitution, algebraic manipulation, and calculation of polynomial values. Suitable for students in Grades 7-9.

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