Depends on the sign of the term in x.
(4x - 12)(x - 4) or (4x + 12)(x + 4)
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Divide all terms by 4:- x2+7x+12 = (x+3)(x+4) when factored
The prime factorization of 48 is 2*2*2*2*3
First, I'll multiply by -1, to make it a little easier to work with (then when done, I'll multiply by -1 again): x2 + 2x - 48. We want two numbers, when multiplied yield -48, and the sum is 2: -6 and 8. (x + 8)(x - 6) works. Now multiply one of the binomial factors by -1: (x + 8)(6 - x). Multiply using FOIL to check: -x2 - 2x + 48
If, perhaps, you meant x^2 - 8x - 48, then the factors are (x - 12) & (x + 4).If you really meant x^8 - 8x - 48, then there are 2 real factors at (x+1.562) & (x-1.673) [Approximate, using numerical means], the other 6 should be complex number factors.
To reduce the fraction 3648 to its lowest terms, we need to find the greatest common divisor (GCD) of 3648 and then divide both the numerator and the denominator by this GCD. The prime factorization of 3648 is 2^5 * 3 * 19. To simplify, we can divide both the numerator and the denominator by the GCD, which is 48 (2^4 * 3). Therefore, 3648 ÷ 48 = 76. Thus, the fraction 3648 simplifies to 76 in its lowest terms.