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.,

Question 21 Mark

Write whether the following statement are True or False.
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 $-\sqrt{2}.$

Question 31 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).

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

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

Question 51 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.

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.

Maths True False[1 Marks ]