Factor 3x 2 4x 7

Asked by maham237 @ 11/02/2021 in Mathematics viewed by 334 People

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

Answered by maham237 @ 11/02/2021

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).

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