Look at each pair of expressions below. Identify the expression that is not a polynomial from each. Give reasons for your answers.

A
1.) 2x+1
2.) x^-3+2x²-7
3.)2√x
4.) 2x³-3x^½+-4
5.) (x+5)(9x+1)²(x-4)
B
2/x+1

x³+2x²-7

x√2

2x³-3x²+x-4

(x+5)(9x+1)^-2/(x-4)

Till July 25 2016

2

Answers

2016-07-16T09:56:29+08:00
1. No -Binomial
2.No -Irrational
3. No -Irrational
4.Yes.
5.Yes.

1 4 1
Binomial is a polynomial, therefore Item 1 is a polynomial; Item 4 is not a polynomial because it has a fractional exponent in the middle term.
  • Brainly User
2016-07-16T10:21:47+08:00
PLEASE USE THIS GUIDE TO DIFFERENTIATE A POLYNOMIAL FRON NON - POLYNOMIAL EXPRESSIONS:

A polynomial has:

1) No radical expression
2) No fractional exponent
3) No negative exponent or no variable as denominator in any term in lowest or simplified form.

A.
1) Polynomial

2) Not a  polynomial - it has a negative exponent in leading term (x⁻³)

3) Not a polynomial - it's a radical expression

4) Not a polynomial - it has a negative exponent in middle term

5)  Polynomial - it's product (81x⁴ + 99x³ - 1601x² - 359x - 20) is a polynomial

B.  
1) Not a polynomial - The leading term has a denominator x, meaning the term has a negative exponent (2/x is the same as 2x₋¹)

2) Polynomial

3)  Not a polynomial -  it's a radical expression

4)  Polynomial

5)  Not a polynomial - The second factor, (9x+1)⁻² , obviously has a negative exponent.
2 5 2