Question

OplegesSelect all that apply.lesA. 16m2 + 48m + 36llabusB. 25a2 - 45a +81c. 924 + 3022 + 25uizzes

Answer 1

A perfect square trinomial is of the form

`(px+q)^2=p^2x^2+2pqx+q^2`

Consider

`16m^2+48m+36`

This satisfies for p = 4 and q = 6. Hence it is a perfect square trinomial.

Consider

`25a^2-45a+81`

This not satisfies as if we compare

`\begin{gathered} a^2=25\Rightarrow a=5 \\ b^2=81\Rightarrow b=9 \end{gathered}`

but

`2ab=2\cdot5\cdot9=90\\e45`

Hence it is not a perfect square trinomial.

Consider

`9z^4+30z^2+25`

It can be written as

`9(z^2)^2+30(z^2)+25`

Let

`u=z^2`

Then the trinomial becomes

`9u^2+30u+25`

This satisfies for p = 3 and q = 5. Hence it is a perfect square trinomial.

Consider

`x^2-10x-16`

It is not in the perfect square trinomial form.

Hence it is not a perfect square trinomial.