What is the factored form of 3x² - 5x - 2?

Solution:

Given polynomial is 3x² - 5x - 2

Let us factor the given polynomial by splitting the middle terms.

⇒ 3x² - 6x + x - 2

⇒ 3x(x - 2) + 1(x - 2)

⇒ (3x + 1)(x - 2)

Thus 3x² - 5x - 2 = (3x + 1)(x - 2)

What is the factored form of 3x² - 5x - 2?

Summary:

The factored form of 3x² - 5x - 2 of (3x + 1)(x - 2).