Question

Use a geometric model to factor 3x2 + 4x + 1 by following
these steps
Factor 1
2
Product
Step 1: Model the trinomial by placing tiles to form a
rectangle in the top left corner of the Product
section
+X
Factor 2
Check
B

Answer 1

Answer:

The factors of the expression $f(x)= 3x^{2} + 4x + 1$ are (3x + 1)(x + 1).

Step-by-step explanation:

The expression is:

$f(x)= 3x^{2} + 4x + 1$

Factorize the expression as follows:

$f(x)= 3x^{2} + 4x + 1$

       $=3x^{2}+3x+x+ 1\\\\=3x(x+1)+1(x+1)\\\\=(3x+1)(x+1)$

Thus, the factors of the expression $f(x)= 3x^{2} + 4x + 1$ are (3x + 1)(x + 1).