Given the following perfect square trinomial, fill in the missing term.

\[ x^2 - 16x + \, \_\_\_\_ \]

using pascal's triangle, we find that the second term in the perfect square must be -8. so c=64

Answered by itsdavy6 | 2024-06-10

The missing term to complete the perfect square trinomial of the expression x 2 − 16 x is 64.
To form a perfect square trinomial from the given expression x 2 − 16 x , we need to find a constant term that completes the square. A perfect square trinomial takes the form ( x − a ) 2 = x 2 − 2 a x + a 2 , where 2a is the coefficient of x in our expression. In this case, 2a = 16, so a = 8.
To complete the square, we need to square a, which yields a 2 = 8 2 = 64. Thus, the missing term that completes the perfect square trinomial is 64.

Answered by MarlonBrando | 2024-06-24

To complete the perfect square trinomial x 2 − 16 x + ___ , the missing term is 64 , which is found by calculating ( − 8 ) 2 where − 8 is half of − 16 .
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Answered by itsdavy6 | 2024-12-26