Question

question
express as a trinomial.
$(x + 7)(3x + 1)$
answer attempt 1 out of 2

Explanation:

Step1: Apply FOIL method (First terms)

Multiply first terms of each binomial:
$x \cdot 3x = 3x^2$

Step2: Apply FOIL method (Outer terms)

Multiply outer terms of the binomials:
$x \cdot 1 = x$

Step3: Apply FOIL method (Inner terms)

Multiply inner terms of the binomials:
$7 \cdot 3x = 21x$

Step4: Apply FOIL method (Last terms)

Multiply last terms of each binomial:
$7 \cdot 1 = 7$

Step5: Combine like terms

Add all terms and simplify:
$3x^2 + x + 21x + 7 = 3x^2 + 22x + 7$

Answer:

$3x^2 + 22x + 7$