What are the factors of 2x² + 3x - 54?

Solution:

Given: 2x² + 3x - 54

Let's solve the quadratic equation by splitting the middle term

= 2x² + 12x - 9x - 54

Taking out the common terms

= 2x(x + 6) - 9(x + 6)

= (x + 6)(2x - 9)

Therefore, the factors are (x + 6)(2x - 9).

What are the factors of 2x² + 3x - 54?

Summary:

The factors of 2x² + 3x - 54 are (x + 6)(2x - 9).