True False[1 Marks ]

Question 11 Mark

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

Answer

Because every polynomial is not a binomial e.g.,
$3x^2 + 4x + 5 [$polynomial but not a binomial$]$
$3x^2 + 5 [$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 $pf\ p(x)$ 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

Write whether the following statement are True or False.
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

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 $g(x) = -x^4 + 4x^3 + 2x$

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Question 51 Mark

Write whether the following statement are True or False.
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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Question 61 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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MATHS True False[1 Marks ]

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