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) ?
deg p (x) < deg g (x)
deg p (x) > deg g (x)
Cannot be determined
Can't say
A
deg p (x) > deg g (x)
B
Cannot be determined
C
deg p (x) < deg g (x)
D
Can't say
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Solution
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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)=x2−1 Here, the quotient is 0 and the degp(x)<degg(x) ie 1<2
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Q1
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) ?
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Q2
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