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:

$100(x-10)(x-2)$