Factors of x3 + 5x2 + 2x – 8.

Answer=0

Step-by-step explanation:

Roots of x3−5x2+2x+8=0 are {−1,2,4}.

Explanation:

As the coefficient of x3 in x3−5x2+2x+8=0 is 1,

One of the roots must be factor of 81=8 i.e. it can be ±1.±2,±4or±8.

As sum of coefficients (1−5+2+8=6≠0) is not zero, it is evident that 1 is not the root of x3−5x2+2x+8=0.

But −1 is a root as −1−5−2+8=0 and hence as per factor theorem (x+1) is a factor of x3−5x2+2x+8=0

Dividing x3−5x2+2x+8 by (x+1) we get

x3−5x2+2x+8=x2(x+1)

3x3 = 9 and 2x2 = 4

step-by-step explanation:

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