What are the solutions? x3-8x²-x+8=0 Question 5 options: (8,1,-1) (8,1)

Question

What are the solutions?

x3-8x²-x+8=0

Question 5 options:

(8,1,-1)

(8,1)

(8,1-1,0)

0

Answers ( No )

    0
    2022-01-06T00:31:03+00:00

    In order to answer this, we must factor x3-8×2-x+8=0

    We can make 2 pairs of 2 terms in order to make the factoring easier,

    (x3-8×2)+(-x+8)=0

    Now we can begin to factor each pair of terms one at a time,

    x2(x-8)-(x-8)=0

    We can see that we have 2 (x-8)s so that is our common and we have x2-1 (we can’t see the 1 because anything times 1 equals itself so we don’t need to put it there).

    (x2-1)(x-8)=0

    Expand,

    (x+1)(x-1)(x-8)=0

    In order for 0=0, we must find values of x that will make 0=0

    When x=1

    (1+1)(1-1)(1-8)=0
    2 x 0 x -7=0
    0=0

    When x=8

    (8+1)(8-1)(8-8)=0
    9 x 7 x 0=0
    0=0

    When x=-1

    (-1+1)(-1-1)(-1-8)=0
    0 x -2 x -9=0
    0=0

    Therefore, the answer is x=8,1,-1 or (8,1,-1)

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