If the polynomial x * x * x-8x * x + X + 42 can be divided by x-3x, then the factorization of X * x * x-8x * x + X + 42 is I have classes in the afternoon,

If the polynomial x * x * x-8x * x + X + 42 can be divided by x-3x, then the factorization of X * x * x-8x * x + X + 42 is I have classes in the afternoon,

If it's x-3, it's easy
Directly calculate the factor after (x-3) by comprehensive division
x^3-8x^2+x+42
=（x-3)(x^2-5x-14)
Look at x ^ 2-5x-14 again
Substituting x = 7, the formula is 0,
So x ^ 2-5x-14 must have a factor of (X-7)
And then we use the comprehensive division,
x^2-5x-14=（x-7)(x+2)
So:
x^3-8x^2+x+42=（x-3)(x-7)(x+2)
If you don't know division like this, I suggest you learn and check
This is useful for factoring