Question

4x^2+32x+8 is a perfect square trinomial true or false

Answer 1

Answer:

The trinomial $4x^2+32x+8$ is not a perfect square trinomial because the third term is not a square.

Step-by-step explanation:

A trinomial is an expression composed of three terms that are joined together by addition or subtraction.

A perfect square is created when a value is multiplied times itself. Thus, $(a + b)(a + b) = a^2 + 2ab + b^2$, making the trinomial a² + 2ab + b² a perfect square.

To show that a trinomial is a perfect square you must show that if the first and third terms are squares, figure out what they're squares of. Multiply those things, multiply that product by 2, and then compare your result with the original quadratic's middle term. If you've got a match (ignoring the sign), then you've got a perfect-square trinomial.

The trinomial $4x^2+32x+8$ is not a perfect square trinomial because the third term is not a square.