Polynomial Zeros
a) Determine the set of zeros of each polynomial function in \(\mathbb{R}\):
\[f(X) = 25 - 9X^2\]
a)
\(\left\{\frac{3}{5}, -\frac{3}{5}\right\}\)
b)
\(\left\{\frac{5}{3}, -\frac{5}{3}\right\}\)
c)
\(\left\{5, -5\right\}\)
d)
\(\left\{9, -9\right\}\)
\[f(X) = X^3 - 125\]
a)
\(\left\{-5\right\}\)
b)
\(\left\{5\right\}\)
c)
\(\left\{25\right\}\)
d)
\(\left\{125\right\}\)
\[f(X) = 2X^4 + X^3 - 6X^2\]
a)
\(\left\{0, 1, -2\right\}\)
b)
\(\left\{0, 2, -3\right\}\)
c)
\(\left\{0, \frac{3}{2}, -2\right\}\)
d)
\(\left\{0, -1, 3\right\}\)
MR/Nasef.N
a) Zeros are:
1. b) \(\left\{\frac{5}{3}, -\frac{5}{3}\right\}\)
2. b) \(\left\{5\right\}\)
3. c) \(\left\{0, \frac{3}{2}, -2\right\}\)
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