If a polynomial has four terms, 3x^3+5x+6x^2+10, which factoring method can be considered? a. perfect-square trinomial b. difference of squares c. factor by grouping d. sum of cubes

C. Factor by grouping.

Step-by-step explanation:

We have been given a polynomial . We are asked to determine the appropriate factoring method for our given polynomial.

Let us see our given choices one by one.

A. Perfect square trinomial:

We know that a perfect square trinomial is in form . We can see that our given polynomial has four terms, so it can bot be represented by a perfect square trinomial.

B. Difference of squares

We know that a difference of squares is in form

.

We can see that our given polynomial has four terms, so it can bot be represented as difference of squares .    

C. Factor by grouping:

We can rewrite our given polynomial as:

Make two groups:

Factor out GCF of each group:

Therefore, option C is the correct choice.

answer: 2x + 2 − 2 = 10 − 2; subtraction property of equality

step-by-step explanation: