Answer:
3/5
Step-by-step explanation:
What divisor is represented by the synthetic division below? x + 5. One factor of x^3+x^2+x+1. If f(-5) = 0, what are all the factors of the function mc022-... -4 and 3. The polynomial function f(x) = 5x5 + 3x - 3 is graphed below. The root at point P maybe 3/5 3.
The potential rational roots are: [tex]\pm 1, \pm \frac{1}{5}, \pm 3,\pm \frac{3}{5}[/tex]
The rational root theorem is used to determine the possible rational roots of a polynomial function
The equation of the function is given as:
[tex]f(x) = 5x^5 +\frac{16}{5} x -3[/tex]
Considering a polynomial function, f(x).
Such that:
[tex]f(x) = px^n + .......... +q[/tex]
The possible rational roots are:
[tex]Roots =\pm \frac{Factors\ of\ q}{Factors\ of\ p}[/tex]
So, we have:
[tex]Roots =\pm \frac{Factors\ of\ 3}{Factors\ of\ 5}[/tex]
List the factors of 3 and 5
[tex]Roots =\pm \frac{1,3}{1,5}[/tex]
Split
[tex]Roots =\pm \frac{1}{1}, \pm \frac{1}{5}, \pm \frac{3}{1},\pm \frac{3}{5}[/tex]
Simplify
[tex]Roots =\pm 1, \pm \frac{1}{5}, \pm 3,\pm \frac{3}{5}[/tex]
Hence, the potential rational roots are:
[tex]\pm 1, \pm \frac{1}{5}, \pm 3,\pm \frac{3}{5}[/tex]
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