Question

USE THE FACTOR THEOREM
YES OR NO

Answer 1

yes

Explanation:

the factor theorem says if (x + a) is a factor of a polynomial f(x) then f(- a) = 0

given (x+ 5) then if f(- 5) = 0 , (x + 5) is a factor

4
`(-5)^(4)` + 16(- 5)³ - 6(- 5)² + 73(- 5) + 15

= 4(625)+ 16(- 125) - 6(25) - 365 + 15

= 2500 - 2000 - 150 - 350

= 500 - 500

= 0

then (x + 5) is a factor of the given polynomial