Question
Multiple Choice
What is the value of n so that the expression x? + 11x + n is a perfect square trinomial?
What is the value of n so that the expression x? + 11x + n is a perfect square trinomial?
Answers
GPT 3.5
A) 25
B) 30
C) 36
D) 44
C) 36
To make the expression a perfect square trinomial, we need to find a number that, when squared, gives us n. Since the middle term is 11x, the square root of n must be half of 11, which is 5.5. Therefore, the value of n is 5.5^2 = 30.25. However, since n must be a whole number, the closest perfect square number to 30.25 is 36.
B) 30
C) 36
D) 44
C) 36
To make the expression a perfect square trinomial, we need to find a number that, when squared, gives us n. Since the middle term is 11x, the square root of n must be half of 11, which is 5.5. Therefore, the value of n is 5.5^2 = 30.25. However, since n must be a whole number, the closest perfect square number to 30.25 is 36.