Question

3. Use the polynomial 12x^4 y^2 + 30x^3 y to answer the following questions?

Part A: What is the GCF of the polynomial expression?
Part B: Write the polynomial expression in an equivalent form by factoring out the GCF

Answer 1

`\huge\boxed{GCF:6x^3y}`

`\huge\boxed{Factored: 6x^3y(2x+5)}`

Explanation:

Look at both terms separately, and isolate each "part."

i.e. 12x^4y^2 becomes 12, x^4, y^2

So the problem becomes:

12, x^4, y^2 and

30, x^3, y^1

Then, find the GCF of each term,

30 and 12 - 6

x^4 and x^3 - x^3

y^2 and y^1 - y^1

Hope it helps :) and let me know if you want me to elaborate.