(2x+10)(2x+3) As A Trinomial

Jasonbradley

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Jun 16, 2024

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Expanding (2x + 10)(2x + 3) into a Trinomial

This article will guide you through the process of expanding the expression (2x + 10)(2x + 3) into a trinomial.

Understanding Trinomials

A trinomial is a polynomial with three terms. We can achieve this by using the FOIL method for multiplying binomials. FOIL stands for:

• First: Multiply the first terms of each binomial.
• Outer: Multiply the outer terms of the binomials.
• Inner: Multiply the inner terms of the binomials.
• Last: Multiply the last terms of each binomial.

Expanding the Expression

Let's apply the FOIL method to our expression:

1. First: (2x) * (2x) = 4x²
2. Outer: (2x) * (3) = 6x
3. Inner: (10) * (2x) = 20x
4. Last: (10) * (3) = 30

Now, we combine the terms:

4x² + 6x + 20x + 30

Finally, we simplify by combining like terms:

4x² + 26x + 30

Conclusion

Therefore, the expanded form of (2x + 10)(2x + 3) as a trinomial is 4x² + 26x + 30. This process demonstrates the importance of the FOIL method in multiplying binomials and expressing the product as a trinomial.