Question1 (iv)
Answer the following and justify
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)?

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Solution

iv) If division of a non – zero polynomial p (x) by a polynomial g(x), the remainder is zero, then g(x0 is a factor of p (x) and has degree less than or equal to the degree of p (), i.e., degree of g(x) $\leq$ degree of p (x)

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Question1 (iv)
Answer the following and justify
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)?

Question1 (iv)
Answer the following and justify
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)?

Question1 (iii)
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 degree of p(x) and g(x)?

Q. If on dividing 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)

Question1 (iii)
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 degree of p(x) and g(x)?

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Question1 (iv) Answer the following and justify 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)?

iv) If division of a non – zero polynomial p (x) by a polynomial g(x), the remainder is zero, then g(x0 is a factor of p (x) and has degree less than or equal to the degree of p (), i.e., degree of g(x) ≤ degree of p (x)

Question1 (iv)
Answer the following and justify
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)?

iv) If division of a non – zero polynomial p (x) by a polynomial g(x), the remainder is zero, then g(x0 is a factor of p (x) and has degree less than or equal to the degree of p (), i.e., degree of g(x) $\leq$ degree of p (x)