Effect of Constant Term on Polynomial Roots
In an experiment analyzing the polynomial , researchers study its roots and sign changes over different intervals. What would happen if the constant term were increased to modify the polynomial to ?
A
The polynomial would have the same roots, with the graph merely shifting upward without affecting sign changes.
B
The behavior at the boundaries would remain identical because the constant term does not influence end behavior.
C
The degree of the polynomial would effectively increase, resulting in additional turning points.
D
The locations of the roots would change, which in turn would alter the intervals where the polynomial is positive or negative.
Question Leaderboard
Not enough data yet to show leaderboard.