Question

Which is a perfect square trinomial?

Reference Sheet - Perfect Square Trinomial

(1 point)
Responses

16x2−4x+3
16 x squared minus 4 x plus 3

16x2−9
16 x squared minus 9

16x2+24x+9
16 x squared plus 24 x plus 9

16x+3

Answer 1

A perfect square trinomial is a polynomial of the form \(a^2 + 2ab + b^2\) or \(a^2 - 2ab + b^2\), which factors into \((a + b)^2\) or \((a - b)^2\).

Among the options given, the expression that qualifies as a perfect square trinomial is:

**16x² + 24x + 9**

This can be factored as \((4x + 3)^2\).

The other options do not fit the form of a perfect square trinomial.