Polynomials

Adding Polynomials

100

What is the result of adding

(3x^2+2x+5) and (4x^2−3x−1)

(7x^2−x+4)

200

Add 

(5x^3−2x^2+4x) and (2x^3+x^2−3x) 

(8x^3+3x^2+x)

300

Find the sum of

(2y^2 +3y+7) and (4y^2 −y+2)

(6y^2+2y+9)

400

Simplify

(7a^3−2a^2+5a−3)+(4a^3−6a+2)

(11a^3−2a^2-1a−1)

500

Add

(3x ^4−2x^3 +5x^2+x−4) and (2x^4+3x^3−x^2+2x+7)

(5x^4+x ^3+4x^2+3x+3)

Subtracting Polynomials

100

What is the result of subtracting

(6x^2 +3x−1) f rom (4x^2 +2x+5)

(2x ^2 −x+6)

200

Subtract

(3x^3+2x^2−x) f rom (5x^3+x^2+4x)

(2x ^3 −3x ^2 −5x)

300

Find the difference between

(4y^2−3y+7) and (2y^2+y−2)

(2y ^2 −4y+9)

400

Simplify

(8a^3−5a^2+4a−3)−(3a^3+2a^2−6a+2)

(5a^3−7a^2+10a−5)

500

Subtract

(2x^4+3x^3−x^2+2x+7) f rom(3x^4−2x^3+5x^2+x−4)

(x^4+5x^3−2x^2−3x−11)

Multiplying Polynomials

100

What is the product of 

(3x+2) and (2x−5)

6x^2−x−10

200

Multiply

(x+3) and (x−4)

x^2−x−12

300

Find the product of 

(2x−3) and (3x+4)

6x^2+5x−12

400

Simplify 

(x^2−2x+3)(2x^2+3x−1)

2x^4+5x^3−x^2−5x+3

500

Multiply 

(4x^2−5x+2) and (3x^2+2x−1)

12x^4+x^3−3x^2−3x+2

Combining Like-Terms

100

Combine like-terms in 

3x+2−5x−4

−2x−2

200

Simplify 

2x^2+3x−x^2−4x+7

x^2−x+7

300

Combine like-terms in 

4y^2−2y+5y−3y^2+6

2y^2+3y+6

400

Simplify 

3a^3−2a^2+5a+7−a^3+4a^2−3a+2

2a^3+2a^2+2a+9

500

Combine lie-terms

5x^4−2x^3+4x^2−3x^4+6x^3−x^2+7

4x^4+4x^3+3x^2+6

Dividing Polynomials

100

Divide 

(6x^2+3x−1) by (2x+1)

3x−1

200

Find the quotient of 

(5x^3+x^2+4x)divide(x+1)

5x^2−4x+4

300

Divide

(4y^2−3y+7) by (2y−1)

2y+1

400

Find the quotient of 

(8a^3−5a^2+4a−3)/(2a−1)

4a^2−a+1

500

Divide 

(3x^4−2x^3+5x^2+x−4) by (x−1)

3x^3−5x^2+8x−1