Answer:
0 is an inflection point
1/4 is a local maximum.
Step-by-step explanation:
To begin with you find the first derivative of the function and get that
to find the critical points you equal the first derivative to 0 and get that
To find if they are maximums or local minimums you use the second derivative.
since is neither an inflection point, and since
then 1/4 is a maximum.
The complete factor of the expression is
correct option is D.
It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The expression is .
To solve the expression properly we have to take common (2x²). Then we have
The factor is .
More about the factorization link is given below.