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 + $\frac{ 2 }{ y} $ (v) x 10 + y 3 + t 50

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 + $\frac{ 2 }{ y} $ (v) x 10 + y 3 + t 50

cdquestions Admin · Accepted Answer

(i) 4x 2 - 3x + 7  Yes , this expression is a polynomial in one variable x. (ii) y 2 + √2  yes, this expression is a polynomial in one variable y. (iii) 3 √t + t √2  No , it can be observed that the exponent of variable t in term 3√t  $\frac{ 1 }{ 2} $ , is, which is not a whole number. Therefore, this expression is not a polynomial. (iv) y +  $\frac{ 2 }{ y} $ No, it can be observed that the exponent of variable y in term  $\frac{ 2 }{ y} $  is -1, which is not a whole number. Therefore, this expression is not a polynomial. (v) x 10 + y 3 + t 50   No, it can be observed that this expression is a polynomial in 3 variables, x, y, and t.  Therefore, it is not a polynomial in one variable.

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.
(i) 4x² – 3x + 7
(ii) y ² + √2
(iii) 3 √t + t√2
(iv) y +\(\frac{ 2 }{ y} \)
(v) x ¹⁰+ y³ + t⁵⁰

Solution and Explanation

Top Questions on Polynomials in One Variable

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 +\(\frac{ 2 }{ y} \)(v) x 10 + y 3 + t 50

Solution and Explanation

Top Questions on Polynomials in One Variable

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.
(i) 4x² – 3x + 7
(ii) y ² + √2
(iii) 3 √t + t√2
(iv) y +\(\frac{ 2 }{ y} \)
(v) x ¹⁰+ y³ + t⁵⁰