Question

1. which set of binomials were multiplied together to produce the product represented by these algebra tiles?$(3x + 1)(x + 1)$$(3x^{2}+x)(x + 1)$$(x + 3)(2x + 1)$$3x + 4$

Explanation:

Step1: Identify total area of tiles

First, sum the values of all tiles:
$$3x^2 + 3x + x + 1 = 3x^2 + 4x + 1$$

Step2: Factor the quadratic expression

Factor the resulting quadratic:
$$3x^2 + 4x + 1 = (3x+1)(x+1)$$

Step3: Match to options

Compare the factored form to the given multiple-choice options.

Answer:

A. $(3x + 1)(x + 1)$