Question

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

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply each term in the first binomial by each term in the second binomial:
\( (3x - 9)(x + 4)=3x\cdot x+3x\cdot 4-9\cdot x - 9\cdot 4\)

Step2: Simplify each term

Calculate the products:
\(3x\cdot x = 3x^{2}\), \(3x\cdot 4=12x\), \(-9\cdot x=-9x\), \(-9\cdot 4 = - 36\)
So the expression becomes \(3x^{2}+12x-9x - 36\)

Step3: Combine like terms

Combine the \(x\)-terms: \(12x-9x = 3x\)
The simplified trinomial is \(3x^{2}+3x - 36\)

Answer:

\(3x^{2}+3x - 36\)