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Sagot :
ANSWER
C. (x² + 12)(x + 2)
EXPLANATION
To factor this polynomial using the grouping method, first, we have to group the first two and the last two terms,
[tex](x^3+2x^2)+(12x+24)[/tex]Note that x² is a common factor of the first group while 12 is a common factor of the second group, so let's factor those out,
[tex]x^2(x+2)+12(x+2)[/tex]As we can see, both terms have also a common factor, (x + 2), so when factoring it out, we get the factored expression,
[tex](x^2+12)(x+2)[/tex]Hence, the factored polynomial is (x² + 12)(x + 2).
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