What is the value of of this.polynomial

4(2y)2 if x=3 and y = -2

To find the value of the polynomial \(4(2y)^2\) when \(x = 3\) and \(y = -2\), follow these steps:

1. **Substitute the value of \(y\)** into the polynomial:
   \[
   4(2(-2))^2
   \]

2. **Calculate the expression inside the parentheses**:
   \[
   2 \times (-2) = -4
   \]
   So, the expression becomes:
   \[
   4(-4)^2
   \]

3. **Square the result**:
   \[
   (-4)^2 = 16
   \]

4. **Multiply by the coefficient**:
   \[
   4 \times 16 = 64
   \]

So, the value of the polynomial when \(x = 3\) and \(y = -2\) is \(64\).

Would you like more details or have any questions?

Here are 5 related questions to further your understanding:
1. How do you handle polynomials with higher exponents or more complex expressions?
2. What would change if the polynomial involved both \(x\) and \(y\) terms?
3. Can you solve a polynomial that includes mixed variables like \(xy\)?
4. How do you simplify polynomials before evaluating them?
5. What techniques can be used to quickly evaluate polynomials for different values?

**Tip:** When squaring a negative number, the result is always positive.

Discover how to calculate the value of the polynomial 4(2y)^2 when x=3 and y=-2. Follow a step-by-step solution involving polynomials and arithmetic operations. Suitable for Grades 7-9 students learning about polynomials and exponents.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation