State whether the given algebraic expressions are polynomials? Justify

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» i. No, because power of v in the term 5√x is -1 (negative number). ii. No, because the power of x in the term 5√x is i. e. 0.5 (decimal number). iii. Yes. All the coefficients are real numbers. Also, the power of each term is a whole number. iv. No, because the power of m in the term 2m^-2 is -2 (negative number). v. Yes, because 10 is a constant polynomial.

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»

i. No, because power of v in the term 5√x is -1 (negative number).

ii. No, because the power of x in the term 5√x is i. e. 0.5 (decimal number).

iii. Yes. All the coefficients are real numbers. Also, the power of each term is a whole number.

iv. No, because the power of m in the term 2m^-2 is -2 (negative number).

v. Yes, because 10 is a constant polynomial.