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Answer:
Use FOIL method to find the product of (3x + 1)(x + 2):
FOIL stands for First, Outer, Inner, Last.
- First: Multiply the first terms in each binomial.
(3x) * (x) = 3x^2
- Outer: Multiply the outer terms in the product.
(3x) * (2) = 6x
- Inner: Multiply the inner terms in the product.
(1) * (x) = x
- Last: Multiply the last terms in each binomial.
(1) * (2) = 2
2. Combine all the results:
3x^2 + 6x + x + 2
3. Combine like terms:
3x^2 + 7x + 2
Final Answer:
The product of (3x + 1)(x + 2) is: