Question

what is the product of these binomials?
(x - 8)(x + 3) =

a. $x^2 - 5x - 5$
b. $x^2 - 5x - 24$
c. $x^2 - 11x - 5$
d. $x^2 - 11x - 24$

Explanation:

Step1: Apply FOIL method

Multiply the First terms: \(x \times x = x^2\)
Multiply the Outer terms: \(x \times 3 = 3x\)
Multiply the Inner terms: \(-8 \times x = -8x\)
Multiply the Last terms: \(-8 \times 3 = -24\)

Step2: Combine like terms

Combine the outer and inner terms: \(3x - 8x = -5x\)
Combine all terms: \(x^2 - 5x - 24\)

Answer:

B. \(x^2 - 5x - 24\)