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uysha [10]
3 years ago
12

Can the polynomial below be factored into a perfect square? If not, select the answer that best describes why not.

Mathematics
2 answers:
zaharov [31]3 years ago
8 0
Option B;
A suitable x-coefficient for a quadratic function that factors into a perfect square has to be even.
Nonamiya [84]3 years ago
6 0

Answer:

Option B is correct.

Step-by-step explanation:

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

= a^{2}+2ab+b^{2}

Given polynomial is :

64x^{2} +49x+8

here a = \sqrt{64x^{2} } =8x

b = \sqrt{8}= 2\sqrt{2}

2ab = 2*8x*2\sqrt{2} =32\sqrt{2}x

Now, we can see that the middle term should be 32\sqrt{2} x 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.

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