Polynomials

vocabulary

100

What Is The Definition Of Like Terms? 

Terms That Have The Same Variable Raised To The Same Power

200

What Is "Standard Form Of A Polynomial"?

Written with the terms in order from greatest degree to least degree

300

What Is The Definition Of "Degree of a Monomial"

The Sum Of The Exponents Of The Variables

400

To multiply a monomial and a polynomial, simply_______ the monomial to the polynomial.

Distribute

500

Constant Term

A term that does not contain any variables.

Multiplying Polynomials

100

(x+4)(x-2)

x²+ 2x-8

200

(2p+3)(p–2)

2p²–p–6

300

(2m-5)²

4m²-20m+25

400

(x+4)(x²+3x-6)

x³+7x²+6x-24

500

(3a+1)(5a²+2a-6)

15a³+11a²-16a-6

Adding Polynomials

100

(2 x²+6 x +5)+(3 x²-2 x-1)

5 x²+4 x+4

200

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

4x

300

(x³+8x²-15x+11)+(3x³-5x²-4x+9)

4x³+3x²-19x+20

400

(-2x²+4x-12)+(7x+x²)

-x²+11x-12

500

(6x⁶-3x⁴+5x-5)+(2x⁶-7x⁴+3x)

8x⁶-10x⁴+8x-5

Subtracting Polynomials

100

(2x²-5x+5)-(5x-6)

2x²-10x+11

200

(x²+2 x-1)-(2 x²-3 x+6)

-x²+5 x-7

300

(2a² + 5a + 3) -(2a - 3a - 4)

2a²+6a+7

400

(y²-7xy+5y²x)-(-9xy+10xy²+2y²)

y(-y+2x-5xy)

500

(6c²-4a+5b)-(6a-3b-4c²)

2(5c²-5a+4b)

Simplify

100

3x²-5x²

-2x²

200

3x²+3x+x+1+5x

3x²+9x+1

300

3x-9

3(x-3)

400

5x³+3x²+4xy-6x²-4x³

x(x²-3x+4y)

500

25x²-60x+36

(5x-6)²