Question

if X + K is a factor of a polynomial x square - 2 x minus 15 and x cube + a find K and a​

Answer 1

$\huge\fcolorbox{teal}{aqua}{♡αɴsɯҽʀ♡}$

( x + k ) means x = -k

x2 - 2x - 15

(-k)2 - 2(-k) - 15 = 0

k2 + 2k - 15 = 0

K2 + 5k- 3k - 15 = 0

k ( k+5) - 3 (k+5)

(k - 3) (k + 5)

k =3, -5

x3 + a

( -k ) 3 + a

a = k

a = 27 - 125

▬▭▬▭▬▭▬▭▬▭▬▭▬▭▬▭▬▭▬▭▬

Answer 2

$\huge\fbox\orange{ƛɴѕωɛཞ}$

( x + k ) means x = -k

x2 - 2x - 15

(-k)2 - 2(-k) - 15 = 0

k2 + 2k - 15 = 0

K2 + 5k- 3k - 15 = 0

k ( k+5) - 3 (k+5)

(k - 3) (k + 5)

k =3, -5

x3 + a

( -k ) 3 + a

a = k

a = 27 - 125

▬▭▬▭▬▭▬▭▬▭▬▭▬▭▬▭▬▭▬▭▬