What is the factored form of 2x² - 7x + 6?

Solution:

Let y = 2x² - 7x + 6

Let us factor this polynomial by splitting the middle term.

From the factors of 12 (6 × 2) which are 1, 2, 3, 4, and 6 we have:

y = 2x² - 3x - 4x + 6

= x(2x - 3) - 2(2x - 3)

= (2x - 3)(x - 2)

The zeroes of the function can be obtained by equating the factors with zero as shown below:

2x - 3 = 0 ⇒ x = 3/2

And

x - 2 = 0 ⇒ x = 2

What is the factored form of 2x² - 7x + 6?

Summary:

The factored form of 2x² - 7x + 6 is (2x - 3)(x - 2)