1.) 3Polynomial or Not:Reason:2.) -2x² + 7x -1Polynomial or Not:Reason:[tex]3.) \: 4 {x}^{2} + \frac{5}{x} - 7[/tex]Polynomial or Not:Reason:[tex]4.) \: 5 {x}^{2} - 6 \sqrt{x \: } + 1[/tex]Polynomial or Not:Reason:[tex]5.) \: 12 {x}^{ - 5} [/tex]Polynomial or Not:Reason:. Created by Clyde333. Math

Polynomial or Not: PolynomialReason: ; it is a polynomial of degree zero.Polynomial or Not: PolynomialReason: The exponents of all terms in x are whole numbers {0, 1, 2, ...}.Polynomial or Not: Not a polynomialReason: It contains the term which has a negative exponent.Polynomial or Not: Not a polynomialReason: It can the term which has a fractional exponent.Polynomial or Not: Not a polynomialReason: The term contains negative exponent (exponents can only be 0, 1, 2, ...)Remember:A polynomial is an algebraic expression that consist of terms. It is a combination of terms containing numbers and variables raised to positive (or zero) whole number exponents and real number coefficients.

tex]Polynomial or Not:Reason:...

ElaineMorgan12

$\tt 1.) \: 3$

Polynomial or Not: Polynomial
Reason: $\large \tt 25 = 25 {x}^{0}$ ; it is a polynomial of degree zero.

$\tt 2.) \: - 2 {x}^{2} + 7x - 1$

Polynomial or Not: Polynomial
Reason: The exponents of all terms in x are whole numbers {0, 1, 2, ...}.

$\tt 3.) \: 4 {x}^{2} + \large{\frac{5}{ \: x \: }} \small {- 7}$

Polynomial or Not: Not a polynomial
Reason: It contains the term $\large \tt{ \frac{5}{ \: x \: }} = \small{5 {x}^{ - 1}}$ which has a negative exponent.

$\tt4.) \: 5 {x}^{2} - 6 \sqrt{x \: \: } + 1$

Polynomial or Not: Not a polynomial
Reason: It can the term $\large \tt - 6 \sqrt{x \: \: } = - 6 {x}^{ \frac{1}{2} }$ which has a fractional exponent.

$\tt 5.) \: 12 {x}^{ - 5}$

Polynomial or Not: Not a polynomial
Reason: The term contains negative exponent (exponents can only be 0, 1, 2, ...)

$\color{maroon}{ \underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}$

Remember:

A polynomial is an algebraic expression that consist of terms. It is a combination of terms containing numbers and variables raised to positive (or zero) whole number exponents and real number coefficients.

Clyde333 thanks po

Uchihaironman

Answer:

not

polynomial

not

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$\tt 1.) \: 3$

$\tt 2.) \: - 2 {x}^{2} + 7x - 1$

$\tt 3.) \: 4 {x}^{2} + \large{\frac{5}{ \: x \: }} \small {- 7}$

$\tt4.) \: 5 {x}^{2} - 6 \sqrt{x \: \: } + 1$

$\tt 5.) \: 12 {x}^{ - 5}$

$\color{maroon}{ \underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}$

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