That doesn't factor neatly. Applying the quadratic formula, we find two real solutions: 10 plus or minus 4 times the square root of 7.
x = 20.583005244258363
x = -0.5830052442583629
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The factor theorem states that for any polynomial function f(x), if f(a) = 0, then (x-a) is a factor of f(x). Let f(x) = x3-2x2-8x-5. If (x+1) is a factor, then f(-1) = 0. (x+1 = x - (-1)) Input x = -1 into f: (-1)3-2(-1)2-8(-1)-5 f(-1) = -1 -2 + 8 - 5 f(-1) = 0. Since f(-1) = 0, (x+1) is a factor of x3-2x2-8x-5. Q.E.D.
(x + 5)(x + 8)
(x + 4)(x + 8)
8r3 - 64r2 + r - 8
(d + 4)(d + 8)