Which represents the polynomial written in standard form? 8x^2y^2 – 3x^3y/2 + 4x^4 – 7xy^3 –7xy3 + 8x2y2 – 3x^3y/2 + 4x4 4x4 – 7xy3 – 3x^3y/2+ 8x2y2 4x4 + 8x2y2 – 3x^3y/2 -7xy3 –7xy3 – 8x2y2 + 3x^3y/2+ 4x4

–7xy³ + 8x²y² – 3x³y/2 + 4x⁴

Step-by-step explanation:

If the polynomial is

8x²y² – 3x³y/2 + 4x⁴ – 7xy³

We are required to pick out of these that which is arranged in standard form.

–7xy³ + 8x²y² – 3x³y/2 + 4x⁴

4x⁴– 7xy³ – 3x³y/2+ 8x²y²

4x⁴ + 8x²y² – 3x³y/2 -7xy³

–7xy³ – 8x²y² + 3x³y/2+ 4x⁴

A polynomial is in standard form when the term with the highest degree in a variable is written first and then followed by the next highest in a descending order. Simply put, when it is written in the descending order of that particular variable.

The polynomial

–7xy³ + 8x²y² – 3x³y/2 + 4x⁴

is written in standard form with ascending powers of x and descending powers of y.

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.