Which polynomial is a perfect square trinomial? 9x2 − 12x + 4 36b2 − 24b + 16 16x2 − 24x − 9 4a2 − 10a − 25
Accepted Solution
A:
Answer:Step-by-step explanation:Eliminate the last two possible answers immediately, because their constants are negative. A perfect square trinomial MUST have a positive constant.If we factor the first answer choice, we get (3x - 2)(3x - 2) = 9x^2 - 12x + 4. This is a perfect square trinomial.Looking at the second answer choice: (4x - 3)(4x - 3) = 36b² - 24x + 9. This is also a perfect square trinomial.Please note: Please use " ^ " to indicate exponentiation:9x^2 is correct; 9x2 is incorrect.