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EXERCISE 2.11.not? State reasons for your answer.2(iv) y +у(1) 4x2 – 3x +7(ü) y2 + 2(ü) 3/t + tv2(v) x10 + y2 + psoowing:Which of the following expressions are polynomials in one variable and which are |
Answer» Question :-Which of the following expressions are polynomials in one variable and which are not? STATE reasons for your answer. (i) 4x^2 – 3x + 7 (ii) y^2 + √2 (iii) 3 √t + t√2 (IV) y+ 2/y (V) x^10+ y^3+t^50 Answer :-(i) We have 4x^2 – 3x + 7 = 4x^2 – 3x + 7x^0 It is a polynomial in one variable i.e., x because each exponent of x is a whole number. (ii) We have y^2 + √2 = y^2 + √2y^0 It is a polynomial in one variable i.e., y because each exponent of y is a whole number. (iii) We have 3 √t + t√2 = 3 √t^1/2 + √2.t It is not a polynomial, because one of the EXPONENTS of t is 1/2, which is not a whole number. (iv) We have y + y+2/y = y + 2.y^-1 It is not a polynomial, because one of the exponents of y is -1, which is not a whole number. (v) We have x^10+ y^3 + t^50 Here, exponent of every variable is a whole number, but x^10 + y^3 + t^50 is a polynomial in x, y and t, i.e., in three variables. So, it is not a polynomial in one variable. Plz mrk as brainliest ❤ |
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