Question

Please help with this question for my son understanding I have attached the image.

Answer 1

A perfect square trinomial is obtained by squaring a binomial expression, that is,

`(x+a)^2=x^2+2ax+a^2`

By comparing this equation with the given expression, we can note that a=3 because

`\begin{gathered} (x+3)^2=x^2+2*3* x+3^2 \\ \text{which gives} \\ (x+3)^2=x^2+6x+9 \end{gathered}`

Therefore, the searched number is 9. So the answer is the third option from top to bottom.