(x - 2) (x - 4)/x. Is the given expression a polynomial or not? Justify your answer
Solution:
It is given that
(x - 2) (x - 4)/x
Using the multiplicative distributive property
= (x2 - 4x - 2x + 8)/x
By further calculation
= (x2 - 6x + 8)/x
We can write it as
= x - 6 + 8x-1
The power of x here is -1 which is a negative number.
Therefore, (x - 2) (x - 4)/x is not a polynomial.
✦ Try This: (x - 4) (x - 6)/x. Is the given expression a polynomial or not? Justify your answer
It is given that
(x - 4) (x - 6)/x
Using the multiplicative distributive property
= (x2 - 6x - 4x + 24)/x
By further calculation
= (x2 - 10x + 24)/x
We can write it as
= x - 10 + 24x-1
The power of x here is -1 which is a negative number.
Therefore, (x - 4) (x - 6)/x is not a polynomial.
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 2
NCERT Exemplar Class 9 Maths Exercise 2.2 Problem 1(v)
(x - 2) (x - 4)/x. Is the given expression a polynomial or not? Justify your answer
Summary:
Addition of polynomials is one of the basic operations that we use to increase or decrease the value of polynomials. The expression (x - 2) (x - 4)/x is not a polynomial
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