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Mathematics 18 Online
OpenStudy (pphalke):

identify the degree of each term of the polynomial and the degree of the polynomial 2x^2-9x+9 i know the power of the first term is 2 whats the second term power

OpenStudy (photon336):

Hint look at the exponent

OpenStudy (mathmale):

If no exponent is given, e. g., "x," you may assume that the power of that x is 1: x^1.

OpenStudy (mathmale):

\[2x^2-9x^1+9=2x^2-9x+9\]

OpenStudy (pphalke):

so the degree of th second term would be -9 something??

Vocaloid (vocaloid):

nope, not -9. read this statement carefully: If no exponent is given, e. g., "x," you may assume that the power of that x is 1

OpenStudy (pphalke):

oh ok

OpenStudy (pphalke):

so the degree for the polynomial would be 9?

Vocaloid (vocaloid):

nope

Vocaloid (vocaloid):

read it again.

Vocaloid (vocaloid):

|dw:1462655782129:dw|

Vocaloid (vocaloid):

|dw:1462655790729:dw|

Vocaloid (vocaloid):

|dw:1462655849391:dw|

OpenStudy (mathmale):

You may need to look up "degree." 9 does not represent "degree" here; rather, that 9 (or -9) is the COEFFICIENT of x in the 2nd term. In a quadratic equation, the degrees of the three terms are 2, 1 and 0, in descending order, and the corresponding powers of x are x^2, x and 1.

OpenStudy (mathmale):

Your quadratic is y=2x^2-9x+9. The three coefficients are 2, -9 and +9. These are the coefficients of the three powers of x in descending power order: x^2, x^1, x^0, which is the same thing as x^2, x, 1.

OpenStudy (mathmale):

The degree of the poly. is the degree of the highest term.

OpenStudy (pphalke):

that would be -9?

OpenStudy (mathmale):

The degree of the poly. is the degree of the highest term. No. I explained above that the -9 here is the coefficient of the x term; If any of the vocabulary words I'm using here are not clearly, please look up those words. What is the first term of your polynomial? What is the degree of that term? Then, what is the degree of the entire polynomial?

OpenStudy (mathmale):

Your quadratic is y=2x^2-9x+9. The three coefficients are 2, -9 and +9. These are the coefficients of the three powers of x in descending power order: x^2, x^1, x^0, which is the same thing as x^2, x, 1.

OpenStudy (pphalke):

so the answers would be 2,1,0 and 9?

OpenStudy (pphalke):

mathmale i gave u the wrong info the 0 that u told me was for the third term degree

OpenStudy (mathmale):

Please explain why you included "9" in that list.

OpenStudy (mathmale):

Again, that 9 is a coefficient. It is the coefficient of the zero-th power of x: 9(x^0)=9(1). The degree of the 3rd term is 0 (not 9).

OpenStudy (pphalke):

so the overalll degree for the polynomial would be 1/

OpenStudy (mathmale):

As mentioned before, "The degree of the poly. is the degree of the highest term." What is the degree of the 1st term of your poly, the one that includes x^2?

OpenStudy (pphalke):

degree of the first term is 2

OpenStudy (mathmale):

Yes, and so the degree of the polynomial is also 2. "The degree of the poly. is the degree of the highest term."

OpenStudy (pphalke):

ok

OpenStudy (mathmale):

Good luck, best wishes.

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