ALG II

Add/Sub Polynomial

100

(2x)+(3)+(3x)

5x+3

200

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

5x-2

300

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

-2x-2

400

(2x²+3x-2)+(3x³-2x²+1)

3x³+3x-1

500

(8b³-6+3b⁴)-(b⁴-7b³-3)

2b⁴+15b³-3

Multiply Polynomials

100

(5x³)(2x²)

10x⁵

200

3x²(5x²+4x-2)

15x⁴+12x³-6x²

300

(-4x²-3x)(-3x+2)

12x³+x²-6x

400

(5x²+2)(5x²-2)

25x⁴-4

500

(4x³-6)²

16x⁶-48x³+36

Factor Polynomial GCF

100

2 parts: Find GCF of 20n³+15n² then give me the new form. 

GCF:5n²  5n²(4n+3)

200

2 parts: Find GCF and give new form of 4m²+12mn

GCF:4m 4m(m+3n)

300

2 parts GCF, new form 20ab+8a-2

2(10ab+4a-1)

400

2 parts. GCF, new form 20x²y²+40xy²

20xy²(x+2)

500

a³b³c³-a³b²c³

GCF: a³b²c³(b-1)

Factor Polynomial x^2+bx+c

100

b²+8b+7

(b+1)(b+7)

200

x²-2x-8

(x-4)(x+2)

300

c²-13c-48

(c+3)(c-16)

400

x²+25x-84

(x-3)(x+28)

500

3a²+30a+48

3(a+2)(a+8)

Worded Questions

100

What do I do with my exponents when I add and subtract polynomials?

Combine like terms, keep exponent

200

What do I do with my exponents when I multiply and divide?

Add when mult. /Subtract when div.

300

When I have a GCF in a variable with exponents, how do I find my variable GCF?

Find the smallest common degree.

400

When given x²+8x+7, what are my product numbers for c that will also be my sum of b?

7,1

500

What is the very first thing I should check for when factoring any equation?

GCF