All the
Which of the following expressions are polynomials? Which are not? Give reasons.
3
0 48° +57 -2 1-8 (i) 5
(iv) 2x²+ - 5
Y
(vi
) 1+1(x+0) (vii) Ve
(W) 73x +5y
И.
(viii) 3 xyz
X
W
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Solution
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(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 is not a polynomial.
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