Question

a 1 > ★ w.11 multiply polynomials 58a
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find the product. simplify your answer.
$(3g + 4)(2g + 3)$
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Explanation:

Step1: Apply FOIL method (First terms)

Multiply first terms of each binomial:
$3g \times 2g = 6g^2$

Step2: Apply FOIL method (Outer terms)

Multiply outer terms of the binomials:
$3g \times 3 = 9g$

Step3: Apply FOIL method (Inner terms)

Multiply inner terms of the binomials:
$4 \times 2g = 8g$

Step4: Apply FOIL method (Last terms)

Multiply last terms of each binomial:
$4 \times 3 = 12$

Step5: Combine all terms

Sum the results from Steps 1-4:
$6g^2 + 9g + 8g + 12$

Step6: Combine like terms

Add the linear terms:
$6g^2 + (9g + 8g) + 12 = 6g^2 + 17g + 12$

Answer:

$6g^2 + 17g + 12$