What is the factored form of 6x² + 11x - 10?

Solution:

The given equation is

6x² + 11x - 10

By splitting the middle term

= 6x² + 15x - 4x - 10

By grouping it

= (6x² + 15x) - (4x + 10)

Let us take out the common terms

= 3x(2x + 5) - 2(2x + 5)

= (2x + 5)(3x - 2)

Therefore, the factored form is (2x + 5)(3x - 2).

What is the factored form of 6x² + 11x - 10?

Summary:

The factored form of 6x² + 11x - 10 is (2x + 5) (3x - 2).