If X, B
the zeroes of
are
polynomial
a sc? + box to then find 1 2 3
Answers
Answer:
sorry I don't know answer but it will help you
Step-by-step explanation:
First, I'll look at the polynomial as it stands, not changing the sign on x. This is the positive-root case:
f (x) = x5 – x4 + 3x3 + 9x2 – x + 5
Ignoring the actual values of the coefficients, I then look at the signs on those coefficients:
f (x) = +x5 – x4 + 3x3 + 9x2 – x + 5
Starting out on this homework, I'll draw little lines underneath to highlight where the signs change from positive to negative or from negative to positive from one term to the next. This isn't required, but it'll help me keep track of things while I'm still learning.
sign changes marked
Then I count the number of changes:
sign changes counted
There are four sign changes in the positive-root case. This number "four" is the maximum possible number of positive zeroes (that is, all the positive x-intercepts) for the polynomial f (x) = x5 – x4 + 3x3 + 9x2 – x + 5.