Polynomials

Adding & subtracting polynomials

100

Add the polynomials: 

(2x + 2 ) + (3x - 1 ) 

5x - 1

200

Add the polynomials: 

(X² + 4x + 4) + (X²+ 4x + 4)

2x² + 8x + 8 

300

Subtract the polynomials and write the answer in standard form:

(5x² + 3x + 7) - (x³ + 2x² + 1)

-x³ + 3x² + 3x + 6

400

Subtract the polynomials and write the answer in standard form:

(-7x² - 4x - 7) - (7x² - 4x - 11)

-14x² + 4

500

Add the polynomials: 

(-3x³ + x + 3x³ + x ) + ( 2x² - 2x + 15 ) 

2x² + 15 

Using distributive property

100

Simplify 2(x + 3) using the distributive property

2x + 6

200

 Expand 5(2y - 1) using the distributive property

10y - 5

300

Simplify x(x + 4) using the distributive property

 x² + 4x

400

Simplify using distributive property 

3(2a - 5b + 4)

6a - 15b + 12

500

Simplify using distributive property

3(2x + 5)

6x + 15

Multiplying polynomials

100

Multiply the polynomials: 
(x + 4)(x - 2)

x² + 2x - 8

200

Multiply the polynomial: 

(a + 3)(a − 2)

a² + 1a − 6

300

(4m + 2)(4m + 5)

16m² + 28m + 10

400

5x(2x-9) 

10^2-45x 

500

x(x + 2y)(x + 3y)

x³+ 5x2y + 6xy²

Multiplying polynomials by monomials

100

Simplify:

2x(x² +3x−5)

 

15x³−10x²

200

-2y(5y² - 3y + 1)=-10y³ + 6y² - 2y

-2y(5y² - 3y + 1 ) 

300

2x(3x + 5 ) = 6x² + 10x

2x(3x + 5)

400

-3y(2y - 4 ) = -6y² + 12y 

-3y(2y - 4)

500

4x² (2x - 3 ) = 8x³ - 12x²

4x²(2x - 3)

Special products

100

Is this the perfect square true or false : 

x² - 4x + 4 

TRUE 

200

Is this the perfect square true or false: 

4x² - 4x - 1 

FALSE

300

Is this a perfect square True or false: 

16² - 40x + 25

TRUE

400

Difference of 2 squares: True or false: 

x⁶ - 9 

TRUE 

500

Difference of 2 squares true or false:

X² + 16

FALSE