Question

Which of the following is a factor of 2x4 + 20x3 + 50x2?
a. 2x3
b.x4
c. x+4
d. x+5

Answer 1

Answer:

$2 {x}^{4} + 20 {x}^{3} + 50 {x}^{2}$

$= 2 {x}^{2} ( {x}^{2} + 10 {x}+ 25)$

$= 2 {x}^{2} ( {x}^{2} + 5 {x} + 5x+ 25)$

$= 2 {x}^{2} ( x(x + 5) + 5(x+5))$

$= 2 {x}^{2} {(x + 5)}^{2}$

x+5 is the correct option.