A polynomial cannot have more than one zero. Is the given statement true or false? Justify your answer
Solution:
A polynomial is a type of expression in which the exponents of all variables should be a whole number.
A polynomial can have any number of zeroes and depends on the degree of the polynomial.
Therefore, the statement is false.
✦ Try This: 1/ (x + 5). Is the given statement true or false? Justify your answer
It is given that
1/ (x + 5)
We can write it as
= (x + 5)-1
The power of x here is -1 which is a negative number.
Therefore, 1/ (x + 5) is not a polynomial.
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 2
NCERT Exemplar Class 9 Maths Exercise 2.2 Problem 2(v)
A polynomial cannot have more than one zero. Is the given statement true or false? Justify your answer
Summary:
Zeros of a polynomial are the points where the polynomial equals zero on the whole. The statement “A polynomial cannot have more than one zero” is false
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