For polynomial arithmetic with coefficients in Z_{10}, perform the followi

ostric16

ostric16

Answered question

2021-11-08

For polynomial arithmetic with coefficients in Z10, perform the following calculations.
a.(7x+2)(x2+5)
b.(6x2+x+3)×(5x2+2)

Answer & Explanation

Egreane61

Egreane61

Beginner2021-11-09Added 16 answers

a. (7x+2)(x2+5)
simplify given expression
7x+2x25
x2+7x+(25)
x2+7x3 NS To find coefficient in Z10
(1bmod10)x2+(7bmod10)x+(3bmod10)
(101)x2+7x+(103)
=9x2+7x+7
b. 6x2+x+3
×
5x2+2
12x2+2x+6
30x4+5x3+15x2
30x4+5x3+27x2+2x+6
To find coefficient in Z10
(30mod10)x4+(5mod10)x3+(27mod10)x2+(2mod10)x+(6mod10)
0x4+5x3+7x2+2x+6
5x3+7x2+2x+6
a.(7x+2)(x2+5)10x2x2+7x+103 in Z10
9x2+7x+7
b.30x4+5x3+27x2+2x+65x3+7x2+2x+6 in Z10
see that 30=0 and 27=7 in Z10

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