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

  1. Multiply the coefficients together

First, we take all the numerical coefficients from the terms: 3, 5, 2, 2, and 1. We multiply these together:

$$ 3 \times 5 \times 2 \times 2 \times 1 = 60 $$

  1. Multiply the variable terms together

Next, we identify the variable terms: $x$, $x$, and $x$. We multiply these together:

$$ x \times x \times x = x^3 $$

  1. 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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