which value is needed in the expression below to create a perfect square trinomial?\nx²+8x+____\no 4\no 8\no…
which value is needed in the expression below to create a perfect square trinomial?\nx²+8x+____\no 4\no 8\no 16\no 64
Answer
Answer:
C. 16
Explanation:
Step1: Recall the formula
For a perfect - square trinomial of the form (x^{2}+bx + c), (c=\left(\frac{b}{2}\right)^{2}).
Step2: Identify the value of (b)
In the given expression (x^{2}+8x + c), (b = 8).
Step3: Calculate (c)
(c=\left(\frac{8}{2}\right)^{2}=4^{2}=16).