Question

roup Lifesaver
Please identify the numerical coefficient and the literal coefficient in each of the following expressions. Give the degree of each. ( ^ means exponent)
1.) -7x^3y^2
2.) x^2y^4 - 3x
3.) 1/2(x^3 + x + 2x^2) +14
4.) z^4 +z^3 - 2z^2 + z-9
5.) 3(x+y)-6x^3y^5-5x^2y^2

Answer 1

the literal coefficients are the letters. the numerical coefficients are the numbers before the letters. the degree is the largest exponent present (and you add the exponents for multiple variables, like x^2y^5 has degree 7).

Answer 2

oh ok thank u. literal coefficients are like x, y. Then, the numerical coefficient are like, -7, 3..or am i suppose to write also the letters? like -7x, 37. Lastly, ur telling me that i'm going to add all of the exponents?

Answer 3

i'm referring about number one

Answer 4

no, the term (element that you are adding or subtracting) that has the highest exponent. if a single term has exponents on multiple variables, you add those exponents to get the degree of that term.

Answer 5

the numerical coefficients are just the multiplicative numbers, not the exponents. so for the first one, the only numerical coefficient is -7.

Answer 6

the first one also has only one term, so yes, you do add all the exponents together there.

Answer 7

but i'm not suppose to add all of the exponents right?

Answer 8

on the first one you do because there's only one term. the fifth one has several terms, and you would only add the exponents in a particular term.

Answer 9

so for the first one, the degree is 5. For the second one, it's 6. Third is 3. Fourth is 4. Fifth is 8.

Answer 10

the degree of the highest term is the degree of the whole polynomial.

Answer 11

am i right about the literal coefficient?