8. Which of the following is a factor of the polynomial \( 2 x^{2}- \) \( 3 x-5 \) ?

To determine a factor of the polynomial \( 2x^2 - 3x - 5 \), we can use the factorization method. One approach is to look for two numbers that multiply to \( 2 \times (-5) = -10 \) and add up to \( -3 \). The numbers \( -5 \) and \( 2 \) fit this criterion. Thus, we can rewrite the polynomial and factor it to find \( (2x + 5)(x - 1) \) as the factorization. So, \( (2x + 5) \) and \( (x - 1) \) are both factors of the polynomial. To ensure you have a firm grasp of polynomial factoring, try practicing with other polynomials. The more you engage with different equations, the easier it’ll become to spot patterns and apply the right techniques. Keep your equations clean, and don't rush—taking your time can reveal surprising insights! For further exploration, you might want to check out resources like Khan Academy, which offers interactive lessons on polynomials and factoring. There are also many YouTube channels that break down these concepts with lively examples. Don't hesitate to dive into those—they make learning math feel less like a chore and more like a challenge waiting to be conquered!