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8 votes
What is the greatest common factor of the polynomial:
15x^5 +10x^4+25x^3

User Ah Bon
by
3.8k points

2 Answers

10 votes

Answer:

5x^3

Explanation:

I have no idea how to explain this but here we go

If we were to factor, we first look at all the numbers, not the variables and their exponents.

So we have: 15, 10, and 25, and the greatest common factor is 5

So 5 is going to be part of our final answer.

Then, we look at all the x's and the exponents on them

So we have: x^5, x^4, x^3,

The smallest out of all of them is x^3.

So that's going to be part of your answer

and since it's multiplication

bam, you join them together to make it 5x^3

I hope this helped, let me know if you have any questions

User Akhilsp
by
4.0k points
3 votes

Explanation:

15x^5 +10x^4+25x^3

5x³(3x²+2x+5)

User Gxyd
by
4.9k points