Just to clarify it is 75x to the 3rd power and so on...just wasnt sure if I typed that correctly.
Having diffitculty
Begin by factoring out an x
the new polynomial will look like this now
x(75x^2+150x+63)
now try to factor out a number to reduce the size, if they have a number in common
they all have the common factor of 3 so factor out 3
3x(25x^2+50x+21)
try to further simplify by foiling (since the original polynomial contains only addition the new foiled product must as well)
3x(5x+3)(5x+7)
this is the furthest you can factor the given polynomial.
I'm sure you pull out the x first and then divide the constant by 3. Then you factor it.
75x^3+150x^2+63x
3x(5x+7)(5x+3)
So your answer is: 3x(5x+7)(5x+3)
Comments
Begin by factoring out an x
the new polynomial will look like this now
x(75x^2+150x+63)
now try to factor out a number to reduce the size, if they have a number in common
they all have the common factor of 3 so factor out 3
3x(25x^2+50x+21)
try to further simplify by foiling (since the original polynomial contains only addition the new foiled product must as well)
3x(5x+3)(5x+7)
this is the furthest you can factor the given polynomial.
I'm sure you pull out the x first and then divide the constant by 3. Then you factor it.
75x^3+150x^2+63x
x(75x^2+150x+63)
3x(25x^2+50x+21)
3x(5x+7)(5x+3)
So your answer is: 3x(5x+7)(5x+3)