[DPS] Multiplying Polynomials and Simplifying Expressions Answers

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What is true about the completely simplified sum of the polynomials 3x2y2 − 2xy5 and −3x2y2 + 3x4y?

The sum is a trinomial with a degree of 5.

The sum is a trinomial with a degree of 6.

The sum is a binomial with a degree of 5.

The sum is a binomial with a degree of 6.

What is the difference of the polynomials?(–2x3y2 + 4x2y3 – 3xy4) – (6x4y – 5x2y3 – y5)

–6x4y – 2x3y2 + 9x2y3 – 3xy4 + y5

–6x4y – 2x3y2 – x2y3 – 3xy4 – y5

–6x4y + 3x3y2 + 4x2y3 – 3xy4 + y5

–6x4y – 7x3y2 + 4x2y3 – 3xy4 – y5

What is the sum of the polynomials?(–x2 + 9) + (–3x2 – 11x + 4)

–4x2 – 2x + 4

–4x2 – 11x + 13

2x2 + 20x + 4

2x2 + 11x + 5

The sum of two polynomials is 8d5 – 3c3d2 + 5c2d3 – 4cd4 + 9. If one addend is 2d5 – c3d2 + 8cd4 + 1, what is the other addend?

6d5 – 2c3d2 + 5c2d3 – 12cd4 + 8

6d5 – 4c3d2 + 3c2d3 – 4cd4 + 8

6d5 – 4c3d2 + 5c2d3 – 12cd4 + 8

6d5 – 2c3d2 – 3c2d3 – 4cd4 + 8

Which is true about the degree of the sum and difference of the polynomials 3x5y – 2x3y4 – 7xy3 and –8x5y + 2x3y4 + xy3?

Both the sum and difference have a degree of 6.

Both the sum and difference have a degree of 7.

The sum has a degree of 6, but the difference has a degree of 7.

The sum has a degree of 7, but the difference has a degree of 6.

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