Which of the following is a factor of 2x^4 + 20x^3 + 50x^2? a. 2x^3 b. x^4 c. x+4 d. x+5

D. x + 5

Step-by-step explanation:

2x^4 + 20x^3 + 50x^2

= 2x^2 (x^2 + 10x + 25)

= 2x^2 (x + 5)^2

= 2x^2 (x + 5) (x + 5)

Answer

D. x + 5

For this case we have the following expression:

It is observed that we can extract common factor , since it is common in the three terms:

If we factor the expression into parentheses, we must look for two numbers that add 10 and multiply 25. These are: 5 and 5.

Rewriting the expression we have:

Thus, one of the factors of the original expression is.

Option D