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Question
question
express as a trinomial.
$(x + 2)(3x + 1)$
Step1: Apply FOIL method (First terms)
Multiply the first terms of each binomial:
$x \times 3x = 3x^2$
Step2: Apply FOIL method (Outer terms)
Multiply the outer terms of each binomial:
$x \times 1 = x$
Step3: Apply FOIL method (Inner terms)
Multiply the inner terms of each binomial:
$2 \times 3x = 6x$
Step4: Apply FOIL method (Last terms)
Multiply the last terms of each binomial:
$2 \times 1 = 2$
Step5: Combine like terms
Add the results and combine the linear terms:
$3x^2 + x + 6x + 2 = 3x^2 + 7x + 2$
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$3x^2 + 7x + 2$