Let p(x) = x3 – 5x2 + cx + 4. For what value of c is (x - 2) a factor of p(x)?

4

Step-by-step explanation:

P(x)= x3-5x2+cx+4

X-2 is a factor of p(x)

Let p(x)= 0

X-2=0

X=2

Substitute for x=2 in p(x)

0=2^3-5(2)^2+2c+4

0=8-5(4)+2c+4

0=8-20+2c+4

Collect like terms

-8+20-4=2c

8=2c

C=8/2

C=4

The value of C is 4

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.

4096 bacteria

step-by-step explanation: