SOLUTION: Could you please tell me if I am thinking correctly with these problems. From the given polynomials, identify the polynomials of degree one. a. 11y^2-5-4y answer 4y b. (3x^2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Could you please tell me if I am thinking correctly with these problems. From the given polynomials, identify the polynomials of degree one. a. 11y^2-5-4y answer 4y b. (3x^2      Log On


   

Question 202954: Could you please tell me if I am thinking correctly with these problems.
From the given polynomials, identify the polynomials of degree one.
a. 11y^2-5-4y answer 4y
b. (3x^2)^1/2 + 12 answer no degree one polynomial
c. 7-(12)^1/2x answer x
d. 2x + 13x^2 answer 2x
e. 5x+7y+8 answer is 5x and 7y
f. (12)^1x^1 answer is x and 12
g. x^3 + 2x -10 answer is 2x
h 3x + 4x -4 answer is 3x and 4x
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
The degree of a polynomial is the highest sum of exponents on variables in a term in the polynomial (written in its simplest form).
From the given polynomials, identify the polynomials of degree one.
a. 11y^2-5-4y
This is in simplest form. The highest exponent on y and,therefore, the degree is 2
b. (3x^2)^1/2 + 12
First we simplify:
sqrt%283%29%2Aabs%28x%29+%2B+12
This is not a polynomial.
c. 7-(12)^1/2x
If this is 7+-+12%5E%281%2F%282x%29%29 then it is not a polynomial.
If this is 7+-+12%5E%281%2F2%29x then the degree is 1
d. 2x + 13x^2
The degree is 2
e. 5x+7y+8
The degree is 1
f. (12)^1x^1
12%5E%281x%29%5E1+=+12%5E%281x%29+=+12%5Ex This is not a polynomial.
g. x^3 + 2x -10
The degree is 3
h 3x + 4x -4
Simplified we get: 7x - 4
The degree is 1