The graph represents the height y, in feet above the ground of a rock x seconds after it is dropped from a building. Which state
ment is true? Select each correct answer.
-the rock hits the ground in 45 s.
-the rock rises above 45 ft before falling toward the ground.
-the maximum height of the rock occurs at x=0
-the rock is in the air for 3 s.
-the Maximum height of the rock is 45 ft.
-the rock hits the ground in 45 s.
-the rock rises above 45 ft before falling toward the ground.
-the maximum height of the rock occurs at x=0
-the rock is in the air for 3 s.
-the Maximum height of the rock is 45 ft.
1 answer:
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Answer:
a) 8, multiplicity 2; 8, multiplicity 3
Step-by-step explanation:
Remember that a is a zero of the polynomial f(x) if f(a)=0 and has multiplicity n if the termn (x-a) is n times in the factorization of f(x).
We have that
Observe that
1.
and (x+8) appear two times in the factorization of f(x). Then -8 is a zero of f(x) with multiplicity 2.
2.
and and (x - 8) appear three times in the factorization of f(x). Then 8 is a zero of f(x) with multiplicity 3.
Since f(x) has degree 5 and the sum of the multiplicities is 5 then f(x) hasn't more zeros.