True False[1 Marks ]

Question 11 Mark

Write whether the following statement are True or False. Every polynomial is a binomial.

Answer

False
Solution:
Because every polynomial is not a binomial e.g.,
a. $3 x^2+4 x+5$ [polynomial but not a binomial]
b. $3 x^2+5$ [polynomial and also a binomial]

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Question 21 Mark

Write whether the following statement are True or False.
A polynomial cannot have more than one zero.

Answer

Because a polynomial can have any number of zeroes. It depends upon the degree of the polynomial e.g., $p(x)=x^2-2$, as degree $p f ~p(x)$ 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

Write whether the following statement are True or False. Zero of a polynomial is always $0.$

Answer

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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Question 41 Mark

Write whether the following statement are True or False.
The degree of the sum of two polynomials degree $5$ is always $5.$

Answer

Because the sum of any two polynomials of same degree is not always same degree.
e.g., Let $f(x)=x^4+2$ and $g(x)=-x^4+4 x^3+2 x$

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Question 51 Mark

Write whether the following statement are True or False.
A binomial can have atmost two terms.

Answer

False

Solution:

Because a binomial has exactly two terms.

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Question 61 Mark

Write whether the following statement are True or False. A binomial may have degree $5.$

Answer

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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Maths True False[1 Marks ]

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