Question

Factor the polynomial completely. (If the expression is not factorable using integers, enter PRIME.)


9x^2 − 4

Answer 1

can you spot that this is of the form:\[a^2-b^2\]

Answer 2

its not prime for sure

Answer 3

do you know how to factorise expressions of this type?\[a^2-b^2\]

Answer 4

its called the difference of squares isnt it?

Answer 5

yes - and it has a well known factorisation:\[a^2-b^2=(a+b)(a-b)\]in your problem:
a=3x
b=2

Answer 6

(3x+2)(3x-2)

Answer 7

that is correct - well done!