For polynomial arithmetic with coefficients in Z 10 , perform the following calculations: (7 x + 2) ( x 2 + 5) (6 x 2 + x + 3) x (5 x 2 + 2) Solution (7 x + 2) ( x 2 + 5) = 7x^3+ 2x^2 + 35x +10. (6 x 2 + x + 3) x (5 x 2 + 2) = 30x^4 + 12x^2 + 5 x^3 + 2x + 15 x^2 + 6 = 30x^4 + 5 x^3 + 27x^2+ 2x + 6 .

1. For polynomial arithmetic with coefficients in Z 10 , perform the following calculations:
(7 x + 2) ( x 2 + 5)
(6 x 2 + x + 3) x (5 x 2 + 2)
Solution
(7 x + 2) ( x 2 + 5) = 7x^3+ 2x^2 + 35x +10.
(6 x 2 + x + 3) x (5 x 2 + 2) = 30x^4 + 12x^2 + 5 x^3 + 2x + 15 x^2 + 6 = 30x^4 + 5 x^3 +
27x^2+ 2x + 6