First, it is important to regroup, so I am going to rearrange this equation:
(x4 - 7x2 - 18 - 3x3 + 27x
I can now factor the first three terms and the last two terms:
(x4 - 7x2 - 18) becomes (x2 - 9)(x2 + 2)
-3x3 + 27x becomes -3x(x2 - 9); so the new equation looks like:
(x2 - 9)(x2 + 2) - 3x(x2 - 9)
From here, factor out what is common, in this case- x2- 9. Therefore, you will have
(x2 - 9)(x2 + 2 - 3x), which can be rearranged to (x2 -9)(x2 - 3x + 2).
Further factoring reveals
(x + 3)(x - 3)(x - 1)(x - 2) as the final answer.
42 126 ^ ^ 7x6 14x9 ^ 3x2 ^ ^ 7x2 3x3 7x3x2=LCM is 42
7X^2 -56X + 112 = 0 divide through by 7 X^2 - 8X + 16 = 0 factor (X-4)(X-4) X = 4
7x2-10x+3=0 (7x-3)(x-1)=0
7x2 -4x -5x2 +2x = 2x2 -2x
The solution: x = 6/7 and x = -1
21x2 + 27x - 30 = 3*(7x2 + 9x - 10) = 3*(7x2 - 5x + 14x - 10) =3*[x*(7x - 5) + 2*(7x - 5)] = 3*(7x - 5)*(x + 2)
7x2 + 68xy - 20y2
(7x2 + 9)(4x - 1)
The GCF is x2
7(x-5)^2
Using the quadratic equation formula:- x = -4.706950048 and x = 0.849071913
(x + 5)(x^2 + 2x + 2)
7x2 + 7x - 14 = 7(x2 + x - 2) = 7(x + 2)(x - 1)
7x2
7x2 plus 7x5 = 49
It can't be factored because its discriminant is less than zero
2x+5x-24 7x2-24