which of the following are polynomials?
Answers
THE POWER OF VARIABLE SHOULD NOT BE MINUS (-).....
so....
1,3,4,5 ....... as there power is positive where as other as negative......
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x² + 5x + 4 and √3 y² + 11y + 6√3 are polynomials
Given:
- Expressions
- x² + 5x + 4
- u² + 1/u - 5
- √3 y² + 11y + 6√3
- x⁻³ - 3x² + 6
- 4x² + 5x⁻³ + 2
- x³ + 2x² + √(5x) + 4
- x² + 2√x + 1
To Find:
- Identify the polynomials
Polynomial
A polynomial is a monomial or a sum of monomials
Monomial
A monomial is number, a variable, or a product of numbers and variables with whole number exponents
Check each expression one by one
Step 1:
x² + 5x + 4
All power are whole numbers 2 , 1 and 0
Hence Polynomial
Step 2:
u² + 1/u - 5
1/u = u⁻¹
-1 is not a whole number hence not a polynomial
Step 3:
√3 y² + 11y + 6√3
All power are whole numbers 2 , 1 and 0
Hence Polynomial
Step 4:
x⁻³ - 3x² + 6
-3 is not whole number hence not a polynomial
Step 5:
4x² + 5x⁻³ + 2
-3 is not whole number hence not a polynomial
Step 6:
x³ + 2x² + √(5x) + 4
√(5x) hence x has power 1/2
1/2 is not a whole number
Hence not a polynomial
Step 7:
x² + 2√x + 1
√x hence x has power 1/2
1/2 is not a whole number
Hence not a polynomial
x² + 5x + 4 and √3 y² + 11y + 6√3 are polynomials
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