🎧 New: AI-Generated Podcasts Turn your study notes into engaging audio conversations. Learn more

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.
Thank you for voting!
Use Quizgecko on...
Browser
Browser