Question

question
express as a trinomial.
$(x - 8)(2x + 5)$

Explanation:

Step1: Apply distributive property (FOIL)

Multiply each term in the first binomial by each term in the second binomial:
\(x \cdot 2x + x \cdot 5 - 8 \cdot 2x - 8 \cdot 5\)

Step2: Simplify each term

Calculate the products:
\(2x^2 + 5x - 16x - 40\)

Step3: Combine like terms

Combine the \(x\)-terms:
\(2x^2 + (5x - 16x) - 40 = 2x^2 - 11x - 40\)

Answer:

\(2x^2 - 11x - 40\)