Question

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

Explanation:

Step1: Apply distributive property (FOIL)

Multiply each term in the first binomial by each term in the second binomial:
\( (x + 7)(3x + 1) = x \cdot 3x + x \cdot 1 + 7 \cdot 3x + 7 \cdot 1 \)

Step2: Simplify each term

Calculate the products:
\( x \cdot 3x = 3x^2 \), \( x \cdot 1 = x \), \( 7 \cdot 3x = 21x \), \( 7 \cdot 1 = 7 \)

Step3: Combine like terms

Add the \( x \)-terms: \( x + 21x = 22x \)
So the expression becomes \( 3x^2 + 22x + 7 \)

Answer:

\( 3x^2 + 22x + 7 \)