Test Review

factoring

100

12x³-9x²+24x-18

(4x-3)(3x²+6)

200

140mn-60m²+168n-72m

4(7n-3m)(5m+6)

300

6x²+19x+15

(3x+5)(2x+5)

400

3x²+16x+16

(x+4)(3x+4)

500

3x²-25x-18

(3x+2)(x-9)

factoring special cases

100

perfect square formula

(a²-b²)=(a-b)(a+b)

200

perfect cube formula

(a³+b³)=(a+b)(a²-ab+b²)

(SOAP)

300

9x²-1

(3x+1)(3x-1)

400

x³+125

(x+5)(x²-5x+25)

500

16b²-40b+25

(4b-5)²

law of exponents

100

(X²)²

x⁴

200

(x²)³

x¹²

300

(x⁵)⁵

x²⁵

400

[a²(r³x)^-2]/(a⁵r³x^-3)

x/a³r⁹

500

(a^-2b^-3/2b)^-1

2a²b⁴

add, subtract, multiply(special) polynomials

100

(x-8)²

x²-16x+64

200

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

6x²-2x-20

300

(10x²+8x-5)(-9x²-3x-4)

19x²+11x-1

400

(x²+2x-4)(-3x²-4x-4)

-3x⁴-10x³+8x+16

500

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

3x²+4x²-28x+16

divide polynomials

100

(x²+3x-4)/x

x+3+(-4/x)

200

(2x³+4x²-6)/(2x)

[x+2x-(3/x)]

300

(2x⁴+4x³+4x²)/2x

(x³+2x²+2x)

400

(4x³+16x²+17x+5)/(2x+5)

2x²+3x+1

500

(x⁴-3x²-10)/(x-2)

x³-2x²+x+2+(-6/x-2)