Question

question 8
express as a trinomial.
(3x + 1)(2x - 1)

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(3x \times 2x = 6x^2\)
Multiply the Outer terms: \(3x \times (-1) = -3x\)
Multiply the Inner terms: \(1 \times 2x = 2x\)
Multiply the Last terms: \(1 \times (-1) = -1\)

Step2: Combine like terms

Combine the \(x\) terms: \(-3x + 2x = -x\)
Now, combine all the terms: \(6x^2 - 3x + 2x - 1 = 6x^2 - x - 1\)

Answer:

\(6x^2 - x - 1\)