Expand the expression to a polynomial in standard form:
(3n + 2)(n2 + n +3)
Options
A
n3 + 5n2 + 11n + 6
B
3n3 + 3n2 + 11n + 6
C
3n3 + 5n2 + 9n + 6
D
3n3 + 5n2 + 11n + 6
Answer & Analysis
Answer
D
Analysis
To expand the expression (3n + 2)(n2 + n +3), we can use the distributive property and multiply each term of the first expression by each term of the second expression:
(3n + 2)(n2 + n +3) = 3n * (n2 + n +3) + 2 * (n2 + n +3)
Expanding further:
= 3n3 + 3n2 + 9n + 2n2 + 2n + 6
Combining like terms:
= 3n3 + (3n
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