Polynomial Operations

Adding

100

Add the following polynomials (Write in descending order):

(6m⁵+1)+(2m⁵-1)

8m⁵

200

Add the following polynomials (Write in descending order):

(7j³-2)+(5j³-j-3)

12j³−j−5

300

Add the following polynomials (Write in descending order):

(8a⁵-4)+(3a⁵+a-2)

11a⁵+a−6

400

Add the following polynomials (Write in descending order):

(-4x+4x³+7)+(3x³-9-3x)

7x³−7x−2

500

Add the following polynomials (Write in descending order):

(3x²-2x+1)+(-x²+3x+1)

2x²+x+2

Subtracting

100

If 15 is subtracted from 42, what is the difference?

27

200

Subtract the following polynomials (Write answers in descending order):

(-2x³+x)-(7x-3-7x³)

5x³−6x+3

300

Subtract the following polynomials (Write answers in descending order):

(8x²-3x)-(5x-5-8x²)

16x²−8x+5

400

Subtract the following polynomials (Write answers in descending order):

(-x²+x-4)-(-3x²-8x-2)

2x²+9x−2

500

If (7x³-9x²+8x-5) is subtracted from (5x³+3x²+5), what is the difference?

−2x³+12x²−8x+10

Multiplying

100

Find the product: 

8(4n-8)

32n-64

200

Find the product:

12n(n²+15n)

12n³+180n²

300

Find the product:

(-3x+8y)(2x+4y)

-6x²+4xy+32y²

400

Find the product:

(5x-6y)²

25x²-60xy+36y²

500

Find the product:

(8a-6b)(3a²-2ab-5b²)

24a³-34a²b-28ab²+30b²