Question

express as a trinomial.
(2x - 1)(x + 6)

Explanation:

Step1: Apply distributive property (FOIL)

Multiply each term in the first binomial by each term in the second binomial:
\( (2x - 1)(x + 6) = 2x \cdot x + 2x \cdot 6 - 1 \cdot x - 1 \cdot 6 \)

Step2: Simplify each term

Calculate the products:
\( 2x \cdot x = 2x^2 \), \( 2x \cdot 6 = 12x \), \( -1 \cdot x = -x \), \( -1 \cdot 6 = -6 \)

Step3: Combine like terms

Combine the \( x \)-terms: \( 12x - x = 11x \)
So the expression becomes \( 2x^2 + 11x - 6 \)

Answer:

\( 2x^2 + 11x - 6 \)