Answer:
Polynomial 1 is the perfect square polynomial.
Explanation:
Polynomial 1. 4x² - 12x + 9
= (2x)² - 2(3)(2x) + 3²
= (2x - 3)² Perfect square
Polynomial 2. 16x² + 24x - 9
= (4x)² + 2(4x)(3) - (3)²
But we can not square it because formula to square is (a² + b² - 2ab) = (a - b)²
Instead of -(3)² there should be +(3)².
Polynomial 3. (4a² - 10a + 25)
= (2a)² - 2(5a) + 5²
We can not square it because instead of 2(5a) there should be 2(5)(2a) therefore not a perfect square polynomial.
Polynomial 4. (36b² - 24b - 16)
= (6b)² - 2(4)(6b) - 4²
We can not square it again because (4)² is with negative notation.
Therefore, Polynomial 1 is the answer.