Select the polynomial that can be factored as (2x-5)^2

a 4x^2-25
b 4x^2-20x+25
c 4x^2-10x+25
d 4x^2-20x-25

d. 4x^2-20x-25

Step-by-step explanation:

So, we have to multiply (2x-5) by itself.  That gives:

(2x-5) (2x-5) = 2x (2x-5) - 5 (2x-5) = 4x² - 10x -10x + 25

so, the correct answer is 4x² - 20x + 25

It's just important to multiply each component carefully by using the distributive property.

the perimeter is increased by a factor of 2

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.