Adding/Subtracting/Multiplying Polynomials

Addition of Polynomials

100

(4x^2 + 2x) + (x^2 + 6x)

5x^2 +8x

200

(-3y^2 + y) + (4y^2 + 6y)

y^2 +7y

300

(2a^2 - 7a + 10) + (a^2 + 4a + 7)

3a^2 -3a +17

400

(7 - 5r + 2r^2) + (3r^3 - 6r)

3r^3 + 2r^2 -11r + 7

500

(5r^3 - 6r^2 +3r) + (-3 -2r + r^2)

5r^3 - 5r^2 + r - 3

Subtraction of Polynomials

100

(y^2 - 10xy) - (2y^2 + 3xy)

-y^2 -13xy

200

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

-3x^3 + 2x^2 +3x + 2

300

(-3a^2 - 2a) - (4a^2 - 4)

-7a^2 - 2a + 4

400

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

4x^3 + 3x^2 +3x + 1

500

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

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

Multiply Monomials

100

(6x^2)(5x)

30x^3

200

(x^2yz)(x^2y^4)

x^4y^5z

300

(x^2y)(yz)(xyz)

x^3y^3z^2

400

(3ab^2)(-2abc)(4ac^2)

-24a^3b^3c^3

500

(3a^2b)(-6bc)(2ac^2)

-36a^3b^2c^3

Naming Polynomials

100

Name this polynomial: x +1

first degree monomial

200

Name of this polynomial: x^2 +1

second degree binomial.

300

Name this polynomial: 2x^3 + 4x^7+ 1

seventh degree trinomial.

400

What is the leading coefficient of this polynomial?

-18x^3 + y^4

-18

500

Put this polynomial in standard form and then name it:

3 + 4x^6 - 3x^8 + 2x^2

Standard Form: -3x^7 + 4x^6 + 2x^2 +3.  

Name: 8th degree, four term polynomial.