which of the following algebraic expression are polynomial
__and_
HOW??
1. 1/2+x^3-2x^2+root 6 square
2. x+1/x
3. 2x^2+3x-5 root x+6
4. 5-x-x^2-x^3..
Answers
the second quation is a polynomial as the power of the equation is 1.
equation 1and 4 are a trinomial as the highest power is 3
and equation 3 is a binomial as the highest power is 2
Answer:
1) 1/2 + x³ - 2x² + √6
= x³ - 2x² + √6 + 1/2
:- This one is polynomial because the exponents are natural numbers and aren't fractional or integer.
2) x + 1/x
= x + x^-1
:- As you can see the exponent of the variable is an integer and not a natural number so this one is not a polynomial.
3) 2x² + 3x - 5√x + 6
On Simplifying , we get
= 2x² + 3x - 5x^1/2 + 6
:- It's clearly not a polynomial because the exponent of the variable is not a natural number but a fraction.
4) 5 - x - x² - x³
= x³ - x² - x + 5
:- It's a polynomial because the exponent of the variable is a natural number.