Question

check whether the polynomial p(s)=3spower cube +s power square-20s+12is a multiple of3s-2​

Answer 1

Hlo friend.. Nice question .

Here is ur answer :

P(s) = 3s³+ s²-20s+12

G(s)= 3s-2

Put G(s) = 0

3s-2=0

3s = 2

S = 2/3

P(s) = 3s³+ s²-20s+12

P(2/3) = 3 (2/3)³ + (2/3)² - 20(2/3)+ 12

= 3 × 8/27 + 4/9 - 40/3 + 12

= 8/9 + 4/9 - 40/3 + 12

= 8+4/9 - 40/3 +12

= 12/9 - 40/3 + 12

= 4/3 - 40/3 + 12

= 4 - 40 / 3 + 12

= - 36/3 + 12

= - 12+12

= 0

Yes, 3s-2 is a multiple of P(s).

HOPE IT HELPS YOU....