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If f(x) and g(x) are polynomials of degree p and q respectively, then the degree of [f(x) ± g(x)] (if it is non zero) is
  • a)
    Greater than min (p, q)
  • b)
    Greater than max (p, q)
  • c)
    Less than or equal to max (p, q)
  • d)
    Equal to min (p, q)
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If f(x) and g(x) are polynomials of degree p and q respectively, then ...
Degree is the highest power of the given polynomial
If f(x) and g(x) are added the maximum of them will be the degree unless some term cancels.
If p = q, and the coefficients are negative to each other, the first term may get cancelled. Then the degree is less than the maximum.
∴ Degree can either be equal or less than the max(p, q)
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Most Upvoted Answer
If f(x) and g(x) are polynomials of degree p and q respectively, then ...
The degree of the product of two polynomials is equal to the sum of the degrees of the two polynomials.

So, if f(x) has degree p and g(x) has degree q, then the degree of [f(x) * g(x)] is p + q.
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If f(x) and g(x) are polynomials of degree p and q respectively, then the degree of [f(x) ± g(x)] (if it is non zero) isa)Greater than min (p, q)b)Greater than max (p, q)c)Less than or equal to max (p, q)d)Equal to min (p, q)Correct answer is option 'C'. Can you explain this answer?
Question Description
If f(x) and g(x) are polynomials of degree p and q respectively, then the degree of [f(x) ± g(x)] (if it is non zero) isa)Greater than min (p, q)b)Greater than max (p, q)c)Less than or equal to max (p, q)d)Equal to min (p, q)Correct answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about If f(x) and g(x) are polynomials of degree p and q respectively, then the degree of [f(x) ± g(x)] (if it is non zero) isa)Greater than min (p, q)b)Greater than max (p, q)c)Less than or equal to max (p, q)d)Equal to min (p, q)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If f(x) and g(x) are polynomials of degree p and q respectively, then the degree of [f(x) ± g(x)] (if it is non zero) isa)Greater than min (p, q)b)Greater than max (p, q)c)Less than or equal to max (p, q)d)Equal to min (p, q)Correct answer is option 'C'. Can you explain this answer?.
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