Adding, Subtracting, Multiplying Polynomials

End Behavior

100

What is the end behavior of the polynomial?

x² + x

x->-infty, y->infty

x->infty, y->infty

200

What is the end behavior of the polynomial?

3x⁵ + 3x⁴ + 2x + 7

x->-infty, y->-infty

x->infty, y->infty

300

What is the end behavior of the polynomial?

-x² + 3x - 5x⁴ + 7x 

x->-infty, y->-infty

x->infty, y->-infty

400

What is the end behavior of the polynomial?

-x + x² - 3x³ + 2x² - x

x->-infty, y->infty

x->infty, y->-infty

500

What is the end behavior of the polynomial?

5x⁵ + 4x⁴ - 3x³ - 2x² + x⁶

x->-infty, y->infty

x->infty, y->infty

Multiplying

100

Multiply the expressions. 

-2x(-3x+4)

6x^2-8x

200

Multiply the expressions. 

(2x-6)(-3x+4)

-6x^2+26x-24

300

Multiply the expressions. 

(2x-4)^2

4x^2-16x+16

400

Multiply the expressions. 

(3n-2)(n^2-4n+2)

3n^3-14n^2+14n-4

500

Multiply the expressions. 

(2x^2-3x+1)(-x^2+5x+6)

-2x^4+13x^3-4x^2-13x+6

Adding

100

Add the polynomials:

(2x + 2) + (3x - 1)

5x + 1

200

Add the polynomials:

(x² + 4x + 4) + (x² + 4x + 4)

2x² +8x + 8

300

Add the polynomials:

(3x⁴ + 6x² + 14x - 5) + (3x³ + 3x² - 10)

3x⁴ + 3x³ + 9x² + 14x - 15

400

Add the polynomials and write answer in standard form:

(15x + 6x³ - 2x² + x⁷) + (3x⁷ - 5x + 4x² - 6x³)

4x⁷ + 2x² + 10x

500

Add the polynomials and write the answer in standard form:

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

2x² + 15

Subtracting

100

Subtract the polynomials and write the answer in standard form:

(2x + 15) - (x + 4)

x + 11

200

Subtract the polynomials and write the answer in standard form:

(3x² + 4x - 5) - (4x² - 5 + 3x)

-x² + x

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

Subtract the polynomials and write the answer in standard form:

(3x - 3x² - 3x³ - 3x⁴) - (3x - 3x² - 3x³ - 3x⁴)

0

Multiplying #2

100

Multiply the expressions below. 

(3x+4)(x+7)

3x^2+25x+28

200

Multiply the expressions below. 

(6x+5)(-2x-1)

-12x^2-16x-5

300

Multiply the expressions below. 

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

2x^3-11x^2-22x+7

400

Multiply the expressions below. 

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

-21n^4-6n^3+14n^2-24n-8

500

Multiply the expressions below. 

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

6x^4-20x^3+35x^2-28x+10