(X + 5)(X + 1) FOIL this. X2 + 1X + 5X + 5 Gather terms. X2 + 6X + 5 ----------------------------those were the factors
x2 + 3x + 2 factors into (x + 1) (x + 2)
x3 + x2 - x - 1 = x2(x+1) - 1(x+1) =(x+1)(x2-1) = (x+1)(x+1)(x-1)
If that's 5x2, it factors to (x + 5)(x2 + 1)
The factors of x2 + 5x + 4 would be (x + 1) and (x + 4)
(X + 5)(X + 1) FOIL this. X2 + 1X + 5X + 5 Gather terms. X2 + 6X + 5 ----------------------------those were the factors
x2 + 3x + 2 factors into (x + 1) (x + 2)
x2 + 13x + 12 = (x + 1)(x + 12)
(x + 1)(x2 - x + 1)
x3 + x2 - x - 1 = x2(x+1) - 1(x+1) =(x+1)(x2-1) = (x+1)(x+1)(x-1)
(x + 9)(x - 1)
If that's 5x2, it factors to (x + 5)(x2 + 1)
The factors of x2 + 5x + 4 would be (x + 1) and (x + 4)
Factors are (x + 5)(x + 1) so x = -5 or -1
(x + 9)(x - 1)
When factored it is: (x+9)(x-1)
x2 + 9 has no real factors. Its complex factors are (x + 3i) and (x - 3i) where i is the imaginary square root of -1.