Polynomials

Is it a polynomial?

100

1 + 5x

yes

200

8x ^2/3

No

300

What type of polynomial is

3a⁴b⁵  +  2a

binomial

400

6x^-3 + 4

no

500

Name the coefficients in this polynomial

-2x⁵  + 3x  -  7

-2 and 3

Degree of a Polynomial

100

5y

degree of 1

200

-7a²  +  4xy²b

degree of 4

300

-xy² - x²y³ + 3xy³r²

degree of 6

400

Arrange in descending order of degree

8y + 2 - x⁴ - 6x²y

-x⁴ - 6x²y + 8y + 2 

500

Arrange in descending order of degree

-x²y⁴ + x²y⁵ + 45 -  xy

x²y⁵ - x²y⁴ - xy + 45

Combining Like Terms

100

3x + 7 + 4x - 8

7x -1

200

3x² + 8 + x² + 9x - 3

4x² +9x + 5

300

5x² + 7 + 4x - 6x² - 6 - x - 2x

-x² + x + 1

400

3y + 7y² +1 - y - 2y - 3y²

4y² + 1

500

7r² - 4r²x + 8x² + 5x² - 2r² + 6r²x + 3r²x - 10r²

-5r² + 5r²x + 13x²

Adding

100

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

12x +5

200

(7x² + 5x + 4) + ( 2x² - 3x - 6)

9x² + 2x - 2

300

  (-3x² + x - 7) + (8x² - 4x - 4)

5x² - 3x - 11

400

(-4x⁴ + 3x³ - 7x² - x) + (-9x³ + 7x² - 5x - 1)

-4x⁴ - 6x³ - 6x - 1

500

(x³y + 3x²y² + 2xy³) + (2x³y - 9x²y² - xy³)

3x³y - 6x²y² + xy³

Subtracting

100

( 4x + 7) -  ( x + 3)

3x + 4

200

(7x + 4) - (2x + 9)

5x - 5

300

(-x² + 9x - 2) - (9x² - 4x + 4)

-10x² + 13x - 6

400

(3x² + 7xy - 2y²) - (x² - 6xy + 2y²)

2x² + 13xy - 4y²

500

(x⁴ + 8x² - 1) - (x² - 3x³ + x⁴)

7x² + 3x³ - 1