Question

Is 100x^2-1 prime???

Answer 1

are you trying to solve for x?

Answer 2

Factor completly

Answer 3

ax^2 +bx+c
is prime only if b^2-4ac is not a perfect square
so, find b^2-4ac for your question

Answer 4

Just yes or no would be fine

Answer 5

compare 100x^2-1 with ax^2+bx+c
a=100. b=0, c=-1
then b^2-4ac = 0 - 4(100)(-1) =400
is 400 a perfect square ?
just say yes or no, would be fine

Answer 6

Yes 400 is a perfect square

Answer 7

b^2-4ac
given a=100 , b=0 and c=-1
now put in it
0^2-4(100)(-1)
0+400=400

it is not prime no;

Answer 8

correct!
then your quadratic expression is NOT prime

Answer 9

i'll cut to the chase without giving the answer: yes it can be factored.

Answer 10

any more doubts on this?

Answer 11

How can it be factored then?

Answer 12

difference of squares