State whether the given algebraic expressions are polynomials? Justify. i. y + 1/y ii. 2 – 5√x iii. x^2 + 7x + 9 iv. 2m^-2 + 7m – 5 v. 10

Question

State whether the given algebraic expressions are polynomials? Justify.

i. y +\(\frac1{y}\)

ii. 2 – 5√x 

iii. x² + 7x + 9 

iv. 2m^-2 + 7m – 5 

v. 10

Answer 1

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.