Question

check whether polynomial p(s)=3s³+s²-20s+12 is a multiple of 2 and 3

Answer 1

p(s) = 3s^3 + s^2 - 20s + 12

To check if it is multiple of 2 and 3.It must satisfy the equation.

p(2) = 3(2)^3 + (2)^2 -20(2) + 12

p(2) = 24 + 4 - 40 + 12 = 0

Hence polynomial is mutiple of 2.

p(3) = 3(3)^3 + (3)^2 - 20(3) + 12

p(3) = 81 + 9 - 60 + 12 = 42

Hence polynomial is not mutiple of 3.


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