Exercise 2.2

Answer the following and justify: (iii) If on division of a polynomial p (x) by a polynomial g (x), the quotient is zero, what is the relation between the degrees of p (x) and g (x)? (iv) If on division of a non-zero polynomial p (x) by a polynomial g (x), the remainder is zero, what is the relation between the degrees of p (x) and g (x)?

(iii) If on division of a polynomial p (x) by a polynomial g (x), the remainder is zero, what is the connection between the levels of p (x) and g (x)? We realize that, \[p\left( x \right)=\text{...

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