identify polynomials and mention their degrees:
i) 6x^3+5x^3+3
ii) x^7 + 4x^3+10
iii) x^2 +3x+2
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Answer:
estion 1:
State whether the given algebraic expressions are polynomials? Justify.
(i) y +
1
y
(ii) 2 - 5
√
x
(iii) x2 + 7x + 9 (iv) 2m-2 + 7m - 5 (v) 10
ANSWER:
In an algebraic expression, if the powers of the variables are whole numbers then the algebraic expression is a polynomial.
(i)
y+
1
y
=y+y-1
Here, one of the powers of y is −1, which is not a whole number. So, y +
1
y
is not a polynomial.
(ii)
2 - 5
√
x
=2-5x
1
2
Here, the power of x is
1
2
, which is not a whole number. So, 2 - 5
√
x
is not a polynomial.
Step-by-step explanation:
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