Determine the maximum possible number of turning points for the graph of the function.
-$f ( x ) = ( 7 x - 2 ) ^ { 2 } \left( x ^ { 2 } - 1 \right) ( x + 1 )$
A)4
B)2
C)5
D)35

Question

Quizplus · Accepted Answer

The degree of the polynomial is 5 (2 from $ (7x - 2)^2 $, 2 from $ (x^2 - 1) $, and 1 from $ (x + 1) $). The maximum number of turning points for a polynomial is one less than its degree, so the maximum is 5 - 1 = 4.

Determine the Maximum Possible Number of Turning Points for the Graph