7. x – a is the factor of a polynomial P(x) if P(a) is equal to options:
A) 2
B) 1
C) 3
D) 0

Step-by-step explanation:

x - a is a factor of the polynomial P(x).

P(a) means the input for the polynomial is a.

a - a = 0

Anything multiplied by 0 is 0. If the factor is equal to 0 then the whole polynomial will be equal to 0.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

29 is the correct answer

step-by-step explanation: