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State which of the following are polynomials and which are not? Give reasons
(i)
(ii)
(iii)
(iv)
(v)
Answers
Answer:
Answer is 678534.67
Step-by-step explanation:
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Answer:
(i)4x
2
+5x−2=4x
2
+5x
1
−2x
0
Here power of the equation is 2,1 and 0
Since all powers are whole number, it is a polynomial.
Now, since there is only one variable x,
it is a polynomial in one variable.
(ii)y
2
Here power of the equation is 2
Since all powers are whole number, it is a polynomial.
Now, since there is only one variable y,
it is a polynomial in one variable.
(iii)5=5x
0
Here power of the equation is 0
Now, since there is only no variable or power of the variable is zero which is a whole number
it is a polynomial and known as constant polynomial.
(iv)2x
2
+
x
3
−5=2x
2
+3x
−1
−5x
0
Here power of the equation is 2,−1 and 0
Since −1 is not a whole number, it i