(3x%2B8)-as-a-trinomial.jpeg "(3x+1)(3x+8) As A Trinomial")
Expanding (3x + 1)(3x + 8) into a Trinomial
This article will guide you through the process of expanding the expression (3x + 1)(3x + 8) and converting it into a trinomial.
Understanding Trinomials
A trinomial is a polynomial with three terms. They typically follow the form ax² + bx + c, where a, b, and c are constants.
Expanding the Expression
To expand (3x + 1)(3x + 8), we can use the FOIL method:
- First: Multiply the first terms of each binomial: (3x)(3x) = 9x²
- Outer: Multiply the outer terms of the binomials: (3x)(8) = 24x
- Inner: Multiply the inner terms of the binomials: (1)(3x) = 3x
- Last: Multiply the last terms of each binomial: (1)(8) = 8
Now, we have: 9x² + 24x + 3x + 8
Combining Like Terms
Finally, combine the x terms: 9x² + 27x + 8
The Final Trinomial
Therefore, the expanded form of (3x + 1)(3x + 8) as a trinomial is 9x² + 27x + 8.