Question

Factor completely 3x4 − 30x3 + 75x2

Answer 1

3x^2(x^2-10x+25) hope this helps

Answer 2

we have

`3x^(4)-30 x^(3)+75 x^(2)`

Factor the leading coefficient

`3x^(2)(x^(2)-10 x+25)`

we know that

`(x^(2)-10 x+25)=(x-5)^(2)`

substitute

`3x^(2)(x-5)^(2)=3x^(2)(x-5)(x-5)`

therefore

the answer is

`3x^(2)(x-5)^(2)`