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Answer:
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4x2 – 3x + 7
⇒ 4x2 – 3x + 7x°
∵ All the exponents of x are whole numbers.
∴ 4x2 – 3x + 7 is a polynomial in one variable.
(ii)
∵ All the exponents of y are whole numbers.
∴ is a polynomial in one variable.
(v) x10 + y3 + t50
∵; Exponent of every variable is a whole number,
∴ x10 + y3 + t50 is a polynomial in x, y and t, i.e. in three variables.
2. Write the co-efficients of x2 in each of the following:
(i) 2 + x2 + x
(ii) 2 – x2 + x3
(iii)
(v)
Ans. (i) 2 + x2 + x
The co-efficient of x2 is 1.
(ii) 2 – x2 + x3
The co-efficient of x2 is (–1).
(iii)
The co-efficient of x2 is
(iv)
∴ The co-efficient of x2 is 0