Question

Factor COMPLETELY:

4x^2 − 16x^4 + 10x^5
Question options:

2x^2(−2 + 8x^2 −5x^3)
2x^2(2x − 8x^2 +5x^3)
2x^2(2 − 8x^2 + 5x^3)
2x(2x − 8x^3 + 5x^4)

Answer 1

1. Find the greatest common factor (GCF)
What is the largest number that divides evenly into 4x^2, -16x^4, and 10x^5?
It is 2.
What is the highest degree of x that divides evenly into 4x^2, -16x^4, and 10x^5?
It is x^2.
Multiply the results above, the GCF = 2x^2

2. Factor out the GCF (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
2x^2(4x^2/2x^2 + -16x^4/2x^2 + 10x^5/2x^2)

3. Simplify each term in parentheses
2x(2-8x^2+5x^3)

Have a nice day :D