Question

what is the product of these two binomials?
\\((x^2 - 5)(2x - 1)\\)

select the correct answer.

\\(2x^3 - x^2 + 10x - 5\\)
\\(2x^3 - x^2 - 10x - 5\\)
\\(2x^3 - x^2 - 10x + 5\\)
\\(2x^3 - x^2 + 10x + 5\\)

Explanation:

⚡ Using what you learned: multiplying polynomials

Step 1: Distribute terms

$$ (x^2 - 5)(2x - 1) = x^2(2x - 1) - 5(2x - 1) $$

Step 2: Expand and simplify

$$ = 2x^3 - x^2 - 10x + 5 $$

Answer:

\(2x^3 - x^2 - 10x + 5\) (Third option)