Factor x^2+24x+144

Problem

x2+24*x+144

Solution

1. Identify the structure of the quadratic expression, which is in the form a*x2+b*x+c where a=1 b=24 and c=144

2. Recognize that the expression may be a perfect square trinomial because the first term x2 is the square of x and the last term 144 is the square of 12

3. Verify the middle term by checking if 2⋅x⋅12 equals 24*x

4. Apply the formula for a perfect square trinomial, a2+2*a*b+b2=(a+b)2 where a=x and b=12

Final Answer

x2+24*x+144=(x+12)2

Want more problems? Check here!