If on division of a polynomial p(x) by a polynomial g(x) ,the question is zero, what is the relation between the degrees of p(x) and g( x)
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Step-by-step explanation:
By, Division Algorithm, we have
p(x)=g(x)q(x)+r(x)
If, on division of p(x) by g(x) the quotient is 0, then the degp(x)<degg(x)
Ex: p(x)=x+1 and g(x)=x
2
−1
Here, the quotient is 0 and the degp(x)<degg(x) ie 1<2
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