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+4-2)

15x⁴+6x²

300

(-4x²-3x)(-3x+2)

12x³+x²-6x

400

(5x²+2)(5x²-2)

25x⁴-4

500

(4x³-6)²

16x⁶+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)

400

2 parts. GCF, new form 20x²y²+40xy²

20xy²(x+2)

500

a³b³c³-a³b²c³

GCF: a³b²c³(b)

Factor Polynomial ax2+bx+c

100

b²+8b+7

(b+1)(b+7)

200

x²-2x-8

(x-4)(x+2)

300

6c²+7c+2

(3c+2)(2c+1)

400

x²-4x+24

Simplified

500

3a²-13a+4

(3a-1)(a-4)

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/Subtract

300

When I have a GCF in coefficients and in a variable, 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 and also my sum of bx?

7,1

500

What are my steps for success when factoring trinomials? (ax²+bx+c)

Write A*C multiples, circle numbers that add to B, split BX, factor by grouping, check work