what value makes the polynomial factor as a perfect square x+12+?
Since (x+a)^2 = x^2+2ax+a^2, you want 2a=12
16x-28
To determine the value that would make the polynomial factor as a perfect square, we need to start with a quadratic expression of the form (x + a)^2, where "a" is the value we want to find.
Expanding (x + a)^2, we get x^2 + 2ax + a^2.
Comparing this with the given polynomial x + 12 +, we can see that the linear term (2ax) from the perfect square expression is 12x.
This means 2ax = 12x, and simplifying, we find that a = 6.
Therefore, the value that makes the polynomial x + 12 + a perfect square is a = 6.