Could y'all help me with thiss question i'll name you the brainliest hoping your day is going well!

Mathematics

1 answer:

Neporo4naja [7]3 years ago

8 0

Answer:

the first two and last one

Step-by-step explanation:

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Which of the following is equivalent to the polynomial given below?

Marizza181 [45]

Answer:

$(x+(3+\sqrt{11}i)) (x+(3-\sqrt{11}i))$

Step-by-step explanation:

The first step to this problem is to look at the key features of the initial expression given to us. Namely, the middle term.

Notice that it is just $+6x$ . This indicates that the square root terms cancel out, meaning that their signs need to be opposite, but the threes need to have the same, positive sign. This indicates that our answer is option C, but you should always double check by multiplying the expression out to confirm. Here are the steps:

$(x+(3+\sqrt{11}i)) (x+(3-\sqrt{11}i))$

$x^{2} +(3+\sqrt{11}i)x+(3-\sqrt{11}i)x+(3+\sqrt{11}i)(3-\sqrt{11}i)$ $x^{2}+3x+\sqrt{11}ix+3x-\sqrt{11}ix+9+3\sqrt{11}i-3\sqrt{11}i-(\sqrt{11})^{2}(i^{2})$ $x^{2}+6x+9-(11)(-1)$