What is the missing constant term in the perfect square that starts with x^2 - 20x
2 answers:
Answer:
100
Step-by-step explanation:
To make a perfect square trinomial, you want to divide the use the following equation to find the missing constant:
when the quadratic is in standard form.
In this case, we would divide -20 by 2 and square it
-20/2 = -10
(-10)^2 = 100
(a - b)² = a² - 2ab + b²
- 2ab = 20x
- ab = 10x } => b = - 10
a = x
(x - 10)² = x² - 20x + 100
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