Question

select the correct answer.
multiply the binomials:
(3x + 4)(5x - 2)

a. 15x² + 14x + 8
b. 15x² + 20x - 8
c. 15x² + 14x - 8
d. 15x² - 14x - 8

Explanation:

Step1: Apply FOIL method

Multiply First terms: \(3x \times 5x = 15x^2\)
Multiply Outer terms: \(3x \times (-2) = -6x\)
Multiply Inner terms: \(4 \times 5x = 20x\)
Multiply Last terms: \(4 \times (-2) = -8\)

Step2: Combine like terms

Combine the \(x\)-terms: \(-6x + 20x = 14x\)
Combine all terms: \(15x^2 + 14x - 8\)

Answer:

C. \(15x^2 + 14x - 8\)