Operations on Polynomials (Acc Math 2)

Single Variable

100

"Simplify" (b^2+2b-1)+(-7b^2+10)

-6b^2+2b+9

200

"Simplify" (13x^5+6x^3)-(4x^5+2x)

9x^5+6x^3-2x

300

"Simplify" (5-3x)(2x+7)

-6x^2-11x+35

400

"Simplify" (2x^2+x+6)(3x+1)

6x^3+5x^2+19x+6

500

"Simplify" (x+2)(x^2-2x+4)

x^3+8

Multi-Variable

100

"Simplify" (8a^2-13ab+5b)+(-4ab-9b)

8a^2-17ab-4b

200

"Simplify" (6m^2-20y)-(3m^2-m-14y)

3m^2+m-6y

300

"Simplify" (11x^5+17xy-23y^3)-(4x^5-13xy+16y^3)

7x^5+30xy-39y^3

400

"Simplify" (7y-2x)(7y+2x)

-4x^2+49y^2

500

"Simplify" (x-4y)(2x^2+3xy-y)

2x^3-5x^2y-xy-12xy^2+4y^2

Simplify Radicals

100

"Simplify" sqrt(8)

2sqrt(2)

200

"Simplify" sqrt(-50)

5sqrt(2)i

300

"Simplify" sqrt(-27)

3sqrt(3)i

400

"Simplify" sqrt(-72)

6sqrt(2)i

500

"Simplify" sqrt(-200)

10sqrt(2)i

Complex Numbers

100

"Simplify" (5+6i)+(2-7i)

7-i

200

"Simplify" (5+3i)-(-2-5i)

7+8i

300

(1+6i)+(6-2i)-(-7+5i)

14-i

400

"Simplify" (-3+5i)(-5+7i)

-20-46i

500

"Simplify" (i)(6i)(4+6i)

-24-36i

Vocabulary

100

The name for a polynomial with two terms.

Binomial

200

The number in front of the first term of a polynomial written in standard form.

Leading Coefficient

300

The parts of a polynomial that are being added and subtracted.

Terms

400

The name for a polynomial whose highest degree is 4.

Quartic

500

An expression that contains constants, variables, and exponents. 

Polynomial