Question

(e)_ Let f(x) = x ^ 3 + 2x + 4 and g(x) = 3x + 2 in Z_{5}(x) . Determine the quotient andremainder upon dividing f(x) by g(x) .

Answer 1

Step-by-step explanation:

Given:-

p(x)=x

3

−3x

2

+5x−3

g(x)=x

2

−2

p(x)÷g(x)

(x

3

−3x

2

+5x−3)÷(x

2

−2)

x

2

−2

x

3

−3x

2

+5x−3

=(x−3)+

(x

2

−2)

(7x−9)

Quotient =(x−3)

Remainder =(7x−9)