Question

Determine which polynomial is a perfect square trinomial. (5 points) 4x2 − 12x + 9 16x2 + 24x − 9 4a2 − 10a + 25 36b2 − 24b − 16

Answer 1

The answer is (2x-3)and 2 to the 2nd power at the end or after the parenthisis

Answer 2

Answer:

Polynomial 1 is the perfect square polynomial.

Step-by-step 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.