Question

Is `x^2 – 14x + 49` a perfect square trinomial and how do you factor it?

Answer 1

Since `49 = (+-7)^2`
and
`2xx(-7) = -14`

`x^2-14x+49`
`color(white)("XXXX")` `=(x-7)^2`

and therefore
`color(white)("XXXX")` `x^2-14x+49` is a perfect square.