Question

question
express as a trinomial.
(3x + 4)(2x - 9)

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(3x \times 2x = 6x^2\)
Multiply the Outer terms: \(3x \times (-9) = -27x\)
Multiply the Inner terms: \(4 \times 2x = 8x\)
Multiply the Last terms: \(4 \times (-9) = -36\)

Step2: Combine like terms

Combine the \(x\) terms: \(-27x + 8x = -19x\)
So the trinomial is \(6x^2 - 19x - 36\)

Answer:

\(6x^2 - 19x - 36\)