Yes, you're absolutely correct!
Just be careful though.
3x²-60x does not factorise to 3x(x-60)
3x²-60x factorised is 3x(x-20)
Ok for some reason i can do the more complicated stuff but was never taught the simple stuff because our teacher assumed we would know.
Anyone show me how to factorise out x²+5x & 3x²-60x
Is it as simple as x(x+5) and 3x(x-60)?
And what if the numbers first e.g 100-x² would it just be the same thing as before just different order? (10-x)(10+x)
This method is termed 'Bringing out the Common factor', so yes 3x²-60x can be factorised to x(3x-60).
However, do you notice that another common factor exists in the brackets? It's 3. So for the expression to be fully factorised, we need to acknowledge both the common factors of x and 3 and bring them to the front of the brackets.
x(3x-60) = 3x(x-20)
What you want to do when your factoring is take the largest number that you can that will go into everything. So, in your case it was 3.
6x² + 60x The largest number that can go into everything is 6 because 6 can go into 6 and 60. We also have an x for both terms. So 6x(x + 10) would be the answer.