Question

25w^6+35w^3
Factor the polyonmial
Show Step-by-Step please

Answer 1

5w³(5w³ + 7)

Explanation:

For this question, you basically have to do the reverse of distributive property, and divide the GCF's out.

So the coefficients of 25w⁶ + 35w³ both have a common factor of 5.

This would yield us: 5(5w⁶+ 7w³)

After that we can also factor out w³.

Therefore,

5w³(5w³ + 7).

To check this answer you just have to apply distributive property to see if it gives the same result as the question.

Hope this helps!

Answer 2

5w^3(5w^3 + 7)

Explanation:

25w^6 + 35w^3

The GCF of 25 and 35 is 5.

The GCF of w^6 and w^3 is w^3.

We factor out a common factor of 5w^3 from both terms.

25w^6 + 35w^3 = 5w^3(5w^3 + 7)