What is the product of 3x, 5, 2x, 2, 4x, and 1?
Understand the Problem
The question is asking for the product of the given terms: 3x, 5, 2x, 2, 4x, and 1. To find the product, we need to multiply all these terms together, combining the coefficients and variables appropriately.
Answer
$60x^3$
Answer for screen readers
The product of the terms is $60x^3$.
Steps to Solve
- Multiply the coefficients together
First, we take all the numerical coefficients from the terms: 3, 5, 2, 2, and 1. We multiply these together:
$$ 3 \times 5 \times 2 \times 2 \times 1 = 60 $$
- Multiply the variable terms together
Next, we identify the variable terms: $x$, $x$, and $x$. We multiply these together:
$$ x \times x \times x = x^3 $$
- Combine the results
Finally, we will combine the result from both coefficients and variable terms:
$$ \text{Product} = 60 \times x^3 = 60x^3 $$
The product of the terms is $60x^3$.
More Information
The result $60x^3$ represents the product of the given algebraic terms. It combines both the constant factors and the variables, showing the influence of each term in the overall product.
Tips
- Forgetting to multiply all coefficients together.
- Ignoring the variable terms or miscounting the number of $x$ used in multiplication.
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