Final answer:
Polynomial b- 18X5 - 7xy-2xy2 + 17y4 is in standard form, as it is written with the terms in descending order of their degree, factoring in both x and y variables.
Step-by-step explanation:
The student has asked which polynomial is in standard form. Polynomials in standard form are written with the terms in descending order of their degree. This implies that the term with the highest exponent is written first, followed by terms with lower exponents, in decreasing order. Additionally, the term's variables should be in alphabetical order. Let's evaluate the options given:
- a- 3xy+6x3+y2 - 4x4y3 + 19x7y4
- b- 18X5 - 7xy-2xy2 + 17y4
- c- X5y5-3xy - 11x2y2 +12
- d- 15+ 12xy2 - 11x9y5+5x7y2
Polynomial b- is in standard form as the terms are arranged in descending order of the degrees of each term (considering that both x and y variables should be taken into account for the exponent count).