(2x-1)-express-as-a-trinomial.jpeg "(3x+1)(2x-1) Express As A Trinomial")
Expanding (3x + 1)(2x - 1) to a Trinomial
This problem involves expanding a product of two binomials, which is a common algebraic operation. Here's how we can do it:
Understanding the FOIL Method
The FOIL method is a mnemonic acronym that helps us remember the steps for multiplying two binomials:
- 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.
Applying the FOIL Method
- First: (3x) * (2x) = 6x²
- Outer: (3x) * (-1) = -3x
- Inner: (1) * (2x) = 2x
- Last: (1) * (-1) = -1
Combining Like Terms
Now, we combine the terms we got from the FOIL method:
6x² - 3x + 2x - 1
Simplify by combining the 'x' terms:
6x² - x - 1
Conclusion
Therefore, the expression (3x + 1)(2x - 1) can be expressed as the trinomial 6x² - x - 1.