Question

by division algorithm, which of the following is correct.
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Answer 1

Answer:

Correct option is

B

degree of r(x)< degree of g(x) always

C

either r(x)=0 or degree of r(x)< degree of g(x)

(a) If p(x) is not divisible by g(x), then r(x)



=0∴ (a) is not true

(b) If p(x) is divisible by g(x), the r(x)=0 for all x i.e., r(x) is zero polynomial  

∴(b) is true, as degree of r(x)< degree of g(x)

(c) is clearly true [∵ division algorithm rule]

Since degree of r(x)< degree of g(x) or r(x)=0, but g(x)



=0.

(d) ∴r(x)=g(x) is not true

Step-by-step explanation: