Answer:

is the required polynomial with degree 3 and p ( 7 ) = 0
Step-by-step explanation:
Given:
p ( 7 ) = 0
To Find:
p ( x ) = ?
Solution:
Given p ( 7 ) = 0 that means substituting 7 in the polynomial function will get the value of the polynomial as 0.
Therefore zero's of the polynomial is seven i.e 7
Degree : Highest raise to power in the polynomial is the degree of the polynomial
We have the identity,

Take a = x
b = 7
Substitute in the identity we get

Which is the required Polynomial function in degree 3 and if we substitute 7 in the polynomial function will get the value of the polynomial function zero.
p ( 7 ) = 7³ - 21×7² + 147×7 - 7³
p ( 7 ) = 0

Answer:
Step-by-step explanation:
A system has no solution if the 2 (or more) functions that make up the system do not intersect. The only pair of functions here that do not have an intersection is found in D. You could graph these 2 on a graphing calculator to see that this is true.
1/2^3 = 1/2 x 1/2 x 1/2 = 1/8
Answer is C