**If a polynomial has four terms, 3×3 + 5x + 6×2 + 10, which factoring method can be considered?**

- a) Perfect-square trinomial
- b) Difference of squares
- c) Factor by grouping
- d) Sum of cubes

Answer c) Factor by Grouping

**Answer Explanation:**

Yes, the correct answer is **c) Factor by grouping**.

When you have a polynomial with four terms, **factor by grouping** is often the most appropriate method to try first. This method involves grouping the terms into pairs and factoring out the common factor from each pair, then factoring further if possible.

For the given polynomial $3x_{3}+5x+6x_{2}+10$:

- You can group the terms as $(3x_{3}+6x_{2})+(5x+10)$.
- Factor out the common factors from each group:
- $3x_{2}(x+2)+5(x+2)$.

- Now, you can factor out the common binomial factor $(x+2)$:
- $(x+2)(3x_{2}+5)$.

So, factor by grouping is the appropriate method for this polynomial.

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