Question

Factor by grouping if possible.

z^3+3z^2+7z+21

Answer 1

z^2(z+3)+7(z+3)

(z+3)(z^2+7)

Answer 2

post it.

Answer 3

[AI-generated answer — Explain Bot]

To factor the given expression, z^3 + 3z^2 + 7z + 21, by grouping, follow these steps:

Step 1: Group the terms in pairs

(z^3 + 3z^2) + (7z + 21)

Step 2: Factor out the greatest common factor from each group

z^2(z + 3) + 7(z + 3)

Step 3: Observe that both groups have a common factor of (z + 3)

(z^2 + 7)(z + 3)

Therefore, the factored form of the expression z^3 + 3z^2 + 7z + 21 is (z^2 + 7)(z + 3).