-10
Chat with our AI personalities
x^2 + x - 12
Since 'x^2' term has a coefficient of '1' (N0 number), then we look at the constant, which is '12'.
We need two number that multiply to '12' and 'add' to '1'
The factors of '12' are, 1,12 : 6,2 ; 3,4. This last one satisfies the addition.
Hence
Set up brackets
( x 4 )(x 3)
Which signs? We note that the constant is 'minus' So the signs in the brackets are different. We also note that the 'x' term is positive(+) , so the larger number is positive.
Hence (x 4)(x 3) becomes ( x + 4)( x - 3).
Fully factored!!!!
(x + 5)2
(x - 3)(x - 2)
It can be factored. Whether the factored form is simpler or not is a matter of opinion.sqrt( 16 - x2 ) = sqrt [ (4 + x) (4 - x) ]
x3 - x2 + 2x = x*(x2 - x + 2) which cannot be factored further.
x2+x-6 = (x-2)(x+3) when factored