Operations with Polynomials

Greatest Common Factor

10

Factor:

50n+70

What is:

10(5n+7)

20

Factor:

8n+40n^2-16n^3

What is:

8n(1+5n-2n^2)

30

Factor:

21x^4+21x^3-3x^2+24x

What is:

3x(7x^3+7x^2-x+8)

40

Factor:

-100vu+10v^3-80v^4u

What is:

10v(-10u+v^2-8v^3u)

50

Factor:

49a^6b^6+49a^3b^7-70ab^5-14a^2b^3

What is:

7ab^3(7a^5b^3+7a^2b^4-10b^2-2a)

Addition

10

Simplify:

(6x^2+7)+(3x^2+1)

What is:

9x^2+8

20

Simplify:

(3-7k)+(4k-8k^4+2)

What is:

-8k^4-3k+5

30

Simplify:

(2g^4-3g+9)+(-g^3+12g)

What is:

2g^4-g^3+9g+9

40

Simplify:

(4n^2-3+6n^3)+(4n^3-8+5n^2-2n^5)

What is:

-2n^5+10n^3+9n^2-11

50

Simplify:

(3ab^3-6b^5-3a^4b^2)+(8a^4b^2-4b^5+7ab^3)

What is:

5a^4b^2-10b^5+10ab^3

Subtraction

10

Simplify:

(4w-5)-(9w+2) 

What is:

-5w-7

20

Simplify:

(5n^3-7n)-(3n^2-4n^3-3n)

What is:

9n^3-3n^2-4n

30

Simplify:

(2k^2-k+3)-(5k^2+3k-7)

What is:

-3k^2-4k+10

40

Simplify:

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

What is:

-2x^4+7x^2+3x

50

Simplify:

(-4p+8p^4-4p^5+4p^2)-(3p-6p^5+4p^2-5p^4)

What is:

2p^5+13p^4-7p

Multiplication

10

Simplify:

2b(3b-11)

What is:

6b^2-22b

20

Simplify:

-w^2(w-15)

What is:

-w^3+15w^2

30

Simplify:

4x(2x^3-7x^2+x)

What is:

8x^4-28x^3+4x^2

40

Simplify:

-8y^3(7y^2-4y-1)

What is:

-56y^5+32y^4+8y^3

50

Simplify:

(2t-5)(-8t^2-7t+3)

What is:

-16t^3+26t^2+41t-15

Multiplication(FOIL)

10

Simplify:

(x+7)(x+4)

What is:

x^2+11x+28

20

Simplify:

(v+6)(v-6)

What is:

v^2-36

30

Simplify:

(2h-7)(h+9)

What is:

2h^2+11h-63

40

Simplify:

(5m-2)^2

What is:

25m^2-20m+4

50

Simplify:

(6t^2+1)^2

What is:

36t^4+12t^2+1