1. The possible missing terms to make x²_____+100 a perfect square trinomial are a. 4x and 25x. b. -10x and 10x. c. -20x and 20x. d. -4x and -25x.

Question

asked Jan 12, 2024 150k views

1 Answer

Spencer Goff · Answer 1 · 2024-01-18T22:35:42+0000

Answer:

c. -20x and 20x

Explanation:

x² is the square of x.

100 is the square of 10 and of -10.

The middle term of (a + b)² is 2ab.

For b = 10:

2ab = 20x

for b = -10:

2ab = -20x

Answer: c. -20x and 20x