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6 questions · timed · auto-graded

Question 11 Mark
Every polynomial is a binomial.
Answer
False
Solution:
Because every polynomial is not a binomial e.g.,
  1. 3x2 + 4x + 5 [polynomial but not a binomial]
  2. 3x2 + 5 [polynomial and also a binomial]
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Question 21 Mark
A polynomial cannot have more than one zero.
Answer
False
Solution:
Because a polynomial can have any number of zeroes. It depends upon the degree of the polynomial e.g., p(x) = x2 - 2, as degree pf p(x) is 2, so it has two degree, so it has two zeroes i.e., $\sqrt{2}$ and $-\sqrt{2}.$
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Question 31 Mark
A binomial may have degree 5.
Answer
True
Solution:
Because a binomial is a polynomial whose degree is a whole number greater than equal to one. So, it may have degree 5.
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Question 41 Mark
The degree of the sum of two polynomials degree 5 is always 5.
Answer
False
Solution:
Because the sum of any two polynomials of same degree is not always same degree. e.g., Let f(x) = x4 + 2 and g(x) = -x4 + 4x3 + 2x
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Question 51 Mark
Zero of a polynomial is always 0.
Answer
False
Solution:
Because zero of a polynomial can be any real number e.g., p(x) = x - 2, then 2 is a zero of polynomial p(x).
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