Question

16—18. factor these \special case\ polynomials.

1. $9x^2 + 12x + 4$

$(3x^2+4x+4)$

Explanation:

Step1: Identify perfect square terms

$9x^2=(3x)^2$, $4=2^2$

Step2: Verify middle term check

$2\times3x\times2=12x$, matches the given middle term

Step3: Apply perfect square formula

Use $(a+b)^2=a^2+2ab+b^2$ where $a=3x$, $b=2$

Answer:

$(3x+2)^2$