Question

select the correct answer.

multiply the binomials:

\\((3x + 4)(5x - 2)\\)

\\(\bigcirc 15x^2 + 14x - 8\\)
\\(\bigcirc 15x^2 + 20x - 8\\)
\\(\bigcirc 15x^2 + 14x + 8\\)
\\(\bigcirc 15x^2 - 14x - 8\\)

Explanation:

⚡ Using what you learned: multiplying polynomials

Step 1: Distribute terms

$$ (3x + 4)(5x - 2) = 3x(5x - 2) + 4(5x - 2) $$

$$ = 15x^2 - 6x + 20x - 8 $$

Step 2: Combine like terms

$$ 15x^2 + (-6x + 20x) - 8 = 15x^2 + 14x - 8 $$

Answer:

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