Question

How to Factor step by step: x^2 - 28x + 75

A (x - 14)(x - 14)
B (x - 5)(x - 15)
C (x - 3)(x - 25)

Answer 1

Find two numbers a and b such that
a+b=-28 and
a*b=75
Can u?

Answer 2

0. Given:
x^2 - 28x + 75

1. Split the middle term to get:
x^2 - 25x - 3x + 75

2. Factor the first two terms; then factor the last two terms to get:
x(x-25) - 3(x-25)

3. Since (x-25) is common to both terms, factor it out to get:
(x-25)(x-3)

4. Therefore, the factored form of x^2 - 28x + 75 is (x-25)(x-3)

Answer 3

I never gave multiple choice for factorization problems. You could multiply your answers to get the original expression.