10.1-10.2 Review

Definitions

100

What is a number or variable in a polynomial that is separated  by an addition or subtraction sign

a term

200

The number before a variable within a term is called the...

Coefficient

300

A term that has no variable

Constant

400

A polynomial with three terms is called a...

Trinomial

500

A polynomial with four terms is called a...

Polynomial!  Trick question <3

Adding Polynomials

100

Add the Polynomials

(4x + 9) +(x - 4)

5x + 5

200

Add the polynomials:

(-3a - 2) + (7a + 5)

4a + 3

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

Add the polynomials:

(t² + 3t³ -3) + (2t² +7t -2t³) 

t³ +3t² +7t -3

500

Add the polynomials:

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

Subtracting Polynomials

100

Subtract the polynomials:

(g - 4) - (3g - 6)

-2g + 2

200

Subtract the polynomials:

(-5h - 2) - (7h +6)

-12h - 8

300

Subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x² + x +3

400

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

500

Subtract the Polynomials:

(2x² - 3x) - (x² -2x + 4)

-x² + x - 4

Product Rule

100

Multiply: x^{2 *} x⁴ 

x⁶

200

Multiply: 2k⁴ * 4k

8k⁵

300

Multiply: 3x²y³ (2x⁴y) 

6x⁶y⁴

400

Multiply: (3a⁵bc³)(-5ab⁶c⁸)

-15a⁶b⁷c¹¹

500

Multiply: (14q⁷r⁵s²t)(9qr⁶s¹¹t¹⁰)

126q⁸r¹¹s¹³t¹¹

Power Rule

100

Multiply: (x³)⁴

x¹²

200

Multiply: (4c⁸)²

16c¹⁶

300

Multiply: (3cd⁴)²(cd)⁵

9c⁷d¹³

400

Multiply: (11a³b²c)²(2bc⁴)⁴

1936a⁶b⁸c¹⁸

500

(8q²r⁵s⁵t)²(3r²s³t⁴)³(2qrst)

3456q⁵r¹⁷s²⁰t¹⁵