Say true or false- 1-5x12-1 is a polynomial-

The correct option is B False 1√(5)x^ 12+1 = 1√(5x)+1 = (5x)^ 12+1 In a polynomial, the power of a #160;variable is always raised to a whole number. # ...

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Standard IX

Mathematics

Polynomial and Its General Form

Say true or f...

Question

Say true or false.
$\frac{1}{\sqrt{5}} x^{\frac{1}{2}} + 1$ is a polynomial.

True

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False

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Solution

The correct option is B False
$\frac{1}{\sqrt{5}} x^{\frac{1}{2}} + 1 = \frac{1}{\sqrt{5 x}} + 1 = (5 x)^{- \frac{1}{2}} + 1$

In a polynomial, the power of a variable is always raised to a whole number.
In this problem, the variable is raised to a fraction.

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Say true or false.1√5x12+1 is a polynomial.

The correct option is B False1√5x12+1=1√5x+1=(5x)−12+1In a polynomial, the power of a variable is always raised to a whole number. In this problem, the variable is raised to a fraction.

Say true or false.
$\frac{1}{\sqrt{5}} x^{\frac{1}{2}} + 1$ is a polynomial.

The correct option is B False
$\frac{1}{\sqrt{5}} x^{\frac{1}{2}} + 1 = \frac{1}{\sqrt{5 x}} + 1 = (5 x)^{- \frac{1}{2}} + 1$

In a polynomial, the power of a variable is always raised to a whole number.
In this problem, the variable is raised to a fraction.