sn347690
contestada

Can the polynomial below be factored into a perfect square? If not, select the answer that best describes why not.
64x^2+49x+8
A.

The x^2 coefficient does not permit the factoring.


B.

The x^2 coefficient does permit the factoring, but the x coefficient does not permit the factoring.


C.

The constant value does not permit the factoring.


D.

The polynomial may be factored into a perfect square.

Respuesta :

Abu99
Option B;
A suitable x-coefficient for a quadratic function that factors into a perfect square has to be even.

Answer:

Option B is correct.

Step-by-step explanation:

We will work with the formula : [tex](a+b)^{2}[/tex]

= [tex]a^{2}+2ab+b^{2}[/tex]

Given polynomial is :

[tex]64x^{2} +49x+8[/tex]

here a = [tex]\sqrt{64x^{2} } =8x[/tex]

b = [tex]\sqrt{8}= 2\sqrt{2}[/tex]

2ab = [tex]2*8x*2\sqrt{2} =32\sqrt{2}x[/tex]

Now, we can see that the middle term should be [tex]32\sqrt{2} x[/tex] but in the question, it is given 49x

So, option B is true that - The x^2 coefficient does permit the factoring, but the x coefficient does not permit the factoring.

Otras preguntas