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To find the missed spaces

To find the missed spaces-example-1

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Explanation:

all coefficients are integers, the rational zeros theorem can be applied.

that means each rational solution ("root") x = p/q, written in most simplified terms so that p and q are relatively prime, can be found for the polynomial

an×x^n + an-1×x^(n-1) + ... + a1×x + a0

p is an ± integer factor of the constant term a0, and

q is an ± integer factor of the leading coefficient an.

in our case here

an = a4 = 1

a0 = 8

the only factor for 1 is ±1.

the factors for 8 are

±1, ±2, ±4, ±8

so, we get

1/1, 2/1, 4/1, 8/1, -1/1, -2/1, -4/1, -8/1, 1/-1, 2/-1, 4/-1, 8/-1, -1/-1, -2/-1, -4/-1, -8/-1

that leaves us with the different values of

1/1, 2/1, 4/1, 8/1, -1/1, -2/1, -4/1, -8/1

sorted from smallest to largest

-8/1, -4/1, -2/1, -1/1, 1/1, 2/1, 4/1, 8/1

or simply

-8, -4, -2, -1, 1, 2, 4, 8

User Jerikc XIONG
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