Question

State if the following are perfect square trinomials. Show work that justifies your conclusion.

Answer 1

Given the equation below;

`x^2-6x+36`

For a perfect square polynomial,

`\begin{gathered} ax^2+bx+c=0 \\ ((b)/(2))^2 \end{gathered}`

Where

`b=-6`
`((b)/(2))^2=(-(6)/(2))^2=(-3)^2=9`

Where for a perfect trinomial,

`x^2+2ax+a^2`

And

`\begin{gathered} a^2=(-3)^2=9 \\ a^2=((b)/(2))^2 \\ S\imaginaryI nce,\text{ a}^236 \end{gathered}`

Hence, it is not a perfect square trinomial.