Q:

Given the following perfect square trinomial, find the missing term: ___x2 + 40x + 100 1 2 4 10

Accepted Solution

A:
Answer:4Step-by-step explanation:The correct option is 4.Put 4 in the missing term because 4 is a perfect square and it satisfies the given expression:4x2 + 40x + 100Now multiply the 1st term coefficient with 1004 *100 = 400Now find two numbers whose product is 400 and whose sum is 4020*20 = 40020+20 = 40Therefore 4 is the correct missing coefficient because it satisfies the expression:Thus the correct option is 4....