Question

multiply.
(x - 4)(6x + 7)
simplify your answer.

Explanation:

Step1: Apply distributive property (FOIL)

Multiply each term in the first binomial by each term in the second binomial:
\( x \cdot 6x + x \cdot 7 + (-4) \cdot 6x + (-4) \cdot 7 \)

Step2: Simplify each product

Calculate each term:
\( 6x^2 + 7x - 24x - 28 \)

Step3: Combine like terms

Combine the \( x \)-terms:
\( 6x^2 + (7x - 24x) - 28 = 6x^2 - 17x - 28 \)

Answer:

\( 6x^2 - 17x - 28 \)