If a polynomial has four terms, 3x³ + 5x + 6x² + 10, which factoring method can be considered?

Solution:

The given polynomial can be factored using the method of grouping terms

Given: 3x³ + 5x + 6x² + 10

As the polynomial has 4 terms

We can factorize it by grouping the terms

We have to arrange it first in decreasing order of x

⇒ 3x³ + 6x² + 5x + 10

By grouping two terms together

= (3x³ + 6x²) + (5x + 10)

Taking the common terms out

= 3x²(x + 2) + 5(x + 2)

So we get,

= (x + 2)(3x² + 5)

Therefore, the given polynomial can be factored by using the method of grouping.

---

If a polynomial has four terms, 3x³ + 5x + 6x² + 10, which factoring method can be considered?

Summary:

If a polynomial has four terms, 3x³ + 5x + 6x² + 10, the factoring method of grouping terms can be considered.