Question

factor completely first by factoring out the greatest common factor and then factor the remaining trinomial100x² - 1200x +2,000

Answer 1

Given the expression:

`100x^2-1200x+2000`

notice that all coefficients are divisible by 100, then, we can factor it to get the following:

`100x^2-1200x+2000=100(x^2-12x+20)`

now, we can factor the resulting trinomial in the following way:

`x^2-12x+20=(x-10)(x-2)`

therefore, the complete factorization is:

`100(x-10)(x-2)`