Question

If p(x) = g(x).q(x) +r(x), then degree of q(x) is always less than
a) the degree of g(x)
b) the degree of p(x).
c) or equal to degree of p(x)
d) or equal to degree of r(x)
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Answer 1

Answer:

the answer is b

Step-by-step explanation:

because p(x) may contain degree 4

and g(x)may contain degree 1,2,3.

so  the degree of q(x) is less than p(x)

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Answer 2

The degree of q(x) will always be less than or equal to the degree of p(x).

• The degree of p(x) will be the sum of the degree of g(x) and q(x).
• If the degree of g(x) is zero, then the degree of p(x) and q(x) will be equal.
• But if the degree of g(x) is one or more than one, then the degree of q(x) will be less than the degree of p(x).
• Thus, option (c) will be the correct one.