Concept explainers
To verify: the upper and lower bound of the real zeros of given function
To find: the all real zeros of function.
Answer to Problem 75E
x = -2.152, 0.611, 3.041
Explanation of Solution
Given information: function is
Concept used: -
Upper bound: A number say ‘a’ (a > 0) is called upper bound of zeros of a polynomial say f(x) if we get only positive terms in last row when we applied synthetic division on
Lower bound: A number say ‘a’ (a < 0) is called Lower bound of zeros of a polynomial say f(x) if we get alternate sign terms in last row when we applied synthetic division on
Calculation:-
Upper Bound at x = 4: -
Here, we can see all terms are positive in last row
So, x = 4 is upper bound of zeros of
Lower Bound at x = -3: -
Here, we can see signs are alternative of terms in last row.
So, x = -3 is lower bound of zeros of
Zeros of given function: -
Zeros are x = -2.152, 0.611, 3.041.
Chapter 2 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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