Question

Which of the following best describes the relationship between (x - 5) and the polynomial 2x2 - 7x - 15?

A. (x - 5) is a factor.
B. (x - 5) is not a factor.
C. It is impossible to tell whether (x - 5) is a factor.

Answer 1

if 2(5)^2-7(5)-15 is 0 then (x-5) is a factor
if 2(5)^2-7(5)-15 is not 0 then (x-5) is not a factor

Answer 2

that is called using the remainder theorem

Answer 3

you can actually use division if you want and see if the remainder is 0

Answer 4

however I prefer remainder theorem

Answer 5

ok

Answer 6

so replaced x with -5 and the answer got wasnt 0 so the answer would be B. right

Answer 7

but when @freckles substituted it was x = 5.

Answer 8

\(\color{blue}{\text{Originally Posted by}}\) @freckles
if 2(5)^2-7(5)-15 is 0 then (x-5) is a factor
if 2(5)^2-7(5)-15 is not 0 then (x-5) is not a factor
\(\color{blue}{\text{End of Quote}}\)