Question

check whether the polynomial p(s)=3s^3+s^2-20s+12 is a multiple of 3s-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).

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Answer 2

Answer:

Step-by-step explanatIon:

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).

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