Factor x3 – 4x2 + 7x – 28 by grouping. What is the resulting expression? (x2 – 4)(x + 7) (x2 + 4)(x – 7) (x2 – 7)(x + 4) (x2 + 7)(x – 4

 which agrees with the last answer option you listed

Step-by-step explanation:

Notice that you can factor by grouping, extracting a factor from the first two terms shown:

Not addressing the last two terms, you can extract a common factor "7" then obtaining:

So, notice that the full expression is simply:

which contains a common factor (x-4) that can be finally extracted to obtain the

Since neither multiplicative binomial can be factored out further (they are both prime binomials), then the factorization of the initial polynomial is:

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