Polynomial Equations

Degree

100

What degree is the polynomial:

9x⁴ + 2

4th degree

200

What degree is the polynomial:

5x⁷ + 2x⁴ + 3

7th degree

300

What degree is the polynomial:

5x⁵ − 3x + 7

5th degree

400

What degree is the polynomial:

12b³ − 9b² + 4b

3rd degree

500

What degree is the polynomial:

9a⁴ − a³ + 8a² − 2a + 10

4th degree

Adding

100

(7y² + 4) + (2y² + 3)

9y²+7

200

(4x² +3x+1)+(2x² +7x+9)

6x² + 10x + 10

300

(5a³ + 2a)+(3a³ − 7a + 6)

8a³−5a+6

400

(9x³ +4x² −x+7) + (−3x³+12x−5)

6x³ + 4x² + 11x + 2

500

(2y⁵ − 7y³ + y² − 9y + 4) +

(5y⁵ + 3y³ − 12y² + y − 6)

7y⁵ − 4y³ − 11y² − 8y − 2

Subtracting

100

(5x + 3) − (2x + 1)

3x + 2

200

(9y² + 4) − (3y² + 1)

6y² + 3

300

(6x² + 7x + 5) −

(2x² + 4x + 1)

4x² + 3x + 4

400

(8a³ + 3a − 2) − 

(5a³ − 6a + 7)

3a³ + 9a − 9

500

(10x³ + 4x² − x + 9) −

(7x³ − 6x² + 5x − 2)

3x³ + 10x² − 6x + 11

Multiplying

100

(6a²)(9a³)

54a⁵

200

(8m²n)(6mn³)  

48m³n⁴

300

(2p² + 9)(3p² – 7p)

6p⁴ − 14p³ + 27p² − 63p

400

(3x − 4)(2x² + x −5)

6x³ − 5x² − 19x + 20

500

(5x − 2)(x² − 4x + 7)

5x³ − 22x² + 43x − 14

All Operations

100

(4x³−7x²+5x−2) +(3x³+2x²−6x+8)

7x³ − 5x²− x + 6

200

(5x³−4x²+7x−3)−(2x³+x²−5x+6)

3x³ − 5x² + 12x − 9

300

8x(3x+6)

24x³ + 48x

400

12x(6x + 10)

72x² + 120

500

(7x + 1)(3x² + 5x − 6)

 21x³ + 38x² − 37x − 6