\(\frac{6\sqrt{x}+x^{3/2}}{\sqrt{x}}\) is a polynomial, x ≠ 0. Is the following statement true or false? Justify your answer
Solution:
It is given that
\(\frac{6\sqrt{x}+x^{3/2}}{\sqrt{x}}\)
We can write it as
= \(\frac{6x^{1/2}+x^{3/2}}{x^{1/2}}\)
Taking x1/2 as common
= \(\frac{x^{1/2}(6+x)}{x^{1/2}}\)
= x + 6
As the power is 1, it is a polynomial.
Therefore, the statement is true.
✦ Try This: If 64x² - b = (8x + 1/2) (8x - 1/2), then the value of b is
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 2
NCERT Exemplar Class 9 Maths Exercise 2.2 Sample Problem 1(ii)
[6√x + x3/2]/√x. Is the following statement true or false? Justify your answer
Summary:
The standard form of a polynomial refers to writing a polynomial in the descending power of the variable. The statement is true as the power of the variable is 1 which is a whole number
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