Answer:
Option D.
Step-by-step explanation:
The given expression is

It is a polynomial.
(x-c) is a linear factor of polynomial p(x) if p(c)=0.
Substitute x=-1 in the given expression.

It means (x+1) is not a linear factor of given expression.
Substitute x=-2 in the given expression.

It means (x+2) is not a linear factor of given expression.
Substitute x=-4 in the given expression.

It means (x+4) is not a linear factor of given expression.
None of the given options are a linear factor of given expression.
Therefore, the correct option is D.
Answer:
The explicit formula for the given expression is
.
Step-by-step explanation:
The given sequence is
-7, -4, -1, 2, 5
The difference between two consecutive terms is same, therefore the given sequence is an arithmetic sequence.
The first term of the given AP is -7 and the common difference is

The explicit formula for an AP is

Where, a is first term, d is common difference and n is number of terms.
Substitute a=-7 and d=3 in the above equation.



Therefore the explicit formula for the given expression is
.
Answer:
Step-by-step explanation: