factoring x^2 + 9^2, 4x^2 - 14x + 49

[prettypurplepansy]

What would be the correct answers to
1. X^2+9^2

2. 4X^2-14X+49

I am anxious after my test and I am not sure of the answers. I have to get an A on this test!

 

[pka]

What were the instructions?
What were you to do with this statements?

 

[galactus]

Did you have to solve them?.

Both of these have only complex solutions.

#1. 9i or -9i

#2. \(\displaystyle \frac{7}{4}+\frac{7\sqrt{3}}{4}i\ or\ \frac{7}{4}-\frac{7\sqrt{3}}{4}i\)

 

[prettypurplepansy]

post test questions

Sorry, I was supposed to factor those. I put that they were both prime?? is that true?

1. X^2+ 9^2

2. 4X^2-14X+49

 

[pka]

Look at galactus’s reply.
Your polynomials are prime over the real field.
Your polynomials can be factored over the complex field.
So the answer to your question depends on the underlining field: real or complex.