Question

> Next question
Find the last term to make the trinomial into perfect square
x2 – 2x

Answer 1

+ 1.

Explanation:

That would be (-2/2)^2

= + 1.

x2 - 2x + 1 = (x - 1)(x - 1)

Answer 2

`\text{If a quadratic expression is a perfect square, then}\\\\~~~~~~~\text{Discriminant = 0}\\\\\implies b^2 -4ac = 0\\\\\implies (-2)^2 -4 c = 0\\\\\implies 4-4c = 0\\\\\implies 4c = 4\\\\\implies c = 1 \\\\\text{Hence, the last term should be 1.}\\\\x^2 -2x +1 = (x-1)^2`