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Afina-wow [57]
3 years ago
9

Given the following perfect square trinomial, fill in the missing term. x2 − 16x + ____

Mathematics
2 answers:
prohojiy [21]3 years ago
8 0
The square of a binomial:
(a+b)² =a²+2 a b+b², or: (a-b)²=a²-2 a b+b²
In this case:  a=x,  2 x b = 16 x   ⇒  b=8  ,     b²=8²=64
(x-8)²=x²- 16 x + 64

soldier1979 [14.2K]3 years ago
6 0
To make that a perfect square polynomial,
follow these steps:
1. Take the co-efficient of x term: here -16
2. Divide it by 2: -16/2 = -8
3. Square it. : (-8)^2 = 64

Thats it! 64 is the missing term you need :)
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