Question

Q1) Can x2-1 be the quotient on division of x6-2x3+x-1 by a polynomial in x of degree 5? Justify your answer?

Q2) 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 degree of p(x) and g(x)?

Q3) If on division of a non zero 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)?

Answer 1

GX is a factor or root of a polynomial PX

Answer 2

Answer1. The ans is in the pic

Answer2.the g(x) is a factor of p(x)

Answer 3.the degree of g(x) is zero

Hope this was helpful and correct