Questions: 9x^2 + 12x + 4 Factor the polynomial

Transcript text: 10. $9 x^{2}+12 x+4$ Factor the polynomial

Solution

Solution Steps

To factor the polynomial $9x^2 + 12x + 4$, we can use the method of factoring by grouping or recognize it as a perfect square trinomial. In this case, we notice that it can be written as $(3x + 2)^2$.

Step 1: Identify the Polynomial

We start with the polynomial: \[ 9x^2 + 12x + 4 \]

Step 2: Recognize the Perfect Square Trinomial

We observe that the polynomial can be written in the form of a perfect square trinomial: \[ (3x + 2)^2 \]

Final Answer

$\boxed{(3x + 2)^2}$

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