anonymous
  • anonymous
how to factor this binomial? 25x^2+1
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
(-i+5 x) (i+5 x)
asnaseer
  • asnaseer
\[a^2+b^2=(a+ib)(a-ib)\]
Mertsj
  • Mertsj
That is the sum of two squares and it is prime within the set of real numbers.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

Mertsj
  • Mertsj
What class are you taking?
anonymous
  • anonymous
algebra...
Mertsj
  • Mertsj
So have you had imaginary numbers yet?
anonymous
  • anonymous
no
Mertsj
  • Mertsj
Then put down that this binomial cannot be factored and is prime.
Mertsj
  • Mertsj
If it were the difference of two squares, it would be factorable but since it is the sum of two squares, it is prime.
anonymous
  • anonymous
so what's the difference of sum/diff of squares?
Mertsj
  • Mertsj
x^2 is a square 16 is a square x^+16 is the sum of two squares and cannot be factored x^2-16 is the difference of two squares and can be factored.
Mertsj
  • Mertsj
Sum means add. Difference means subtract.
anonymous
  • anonymous
so whenever there is a - sign it can be factored and when + is prime?
Mertsj
  • Mertsj
Yes. If those signs join two squares.
asnaseer
  • asnaseer
Mertsj: why do say this must be prime? (e.g. when x=1, we get \(25x^2+1=26\) which is not a prime number.
Mertsj
  • Mertsj
Prime means has no factors except itself and 1
asnaseer
  • asnaseer
so mean the "expression" is prime rather than the number that it produces?
Mertsj
  • Mertsj
Yes
asnaseer
  • asnaseer
ok - thx for clarifying
Mertsj
  • Mertsj
5 is prime
Mertsj
  • Mertsj
x^2+4 is prime
Mertsj
  • Mertsj
yw
anonymous
  • anonymous
got you!!!
Mertsj
  • Mertsj
Good
Directrix
  • Directrix
x^2 + 4 is a prime expression over the set of Reals but is not prime over the set of Complex numbers.

Looking for something else?

Not the answer you are looking for? Search for more explanations.