Using the Rational Zero Test In Exercises 37-40, (a) list the possible rational zeros of f , (b) use a graphing utility to graph f so that some of the possible zeros in part (a) can be disregarded, and then (c) determine all real zeros of f . f ( x ) = − 2 x 4 + 13 x 3 – 21 x 2 + 2 x + 8
Using the Rational Zero Test In Exercises 37-40, (a) list the possible rational zeros of f , (b) use a graphing utility to graph f so that some of the possible zeros in part (a) can be disregarded, and then (c) determine all real zeros of f . f ( x ) = − 2 x 4 + 13 x 3 – 21 x 2 + 2 x + 8
Using the Rational Zero Test In Exercises 37-40, (a) list the possible rational zeros of
f
, (b) use a graphing utility to graph
f
so that some of the possible zeros in part (a) can be disregarded, and then (c) determine all real zeros of
f
.
A polynomial function P and its graph are given.
P(x) = 2x4 – 9x3 + 9x² + x – 3
y
2-
X
-2
-1
2
-2
-4
-6
-8
1,
3. Let f(x) = 3x* – 4x³ – 14x² – 4x + 3.
(a.) Use the Rational Zero Theorem to list out the possible rational zeros of f.
(b.) Use part (a.) along with synthetic division and factoring to find all zeros of f.
Write the complete factorization for f(x).
(c.) Sketch the graph of f. Make sure your graph shows the x-intercepts and exhibits
proper end behavior.
"Use the Rational Zeros Theorem to find all the real zeros of each polynomial function. Use the zeros to factor f overthe real numbers.;f(x) =2x3 - 4x2 - 10x + 20
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