REVIEW ON FACTORING

Factoring trinomials when a=1

100

x²+10x+25

(x+5)(x+5)

200

x²-12x+27

(x-9)(x-3)

300

x²+2x-24

(x+6)(x-4)

400

 x²-5x+6

(x-3)(x-2)

500

y²-7y-18

(y-9)(y+2)

Factoring trinomials when a>1

100

Factor 2x²-7x+6

(2x-3)(x-2)

200

Factor 9x²+6x+1

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

300

Factor 2x²-x-6

(x-2)(2x+3)

400

Factor 4y²+12y+9

(2y+3)(2y+3)

500

Factor: ax²-bx-ax+b

(x-1)(ax-b)

Factor completely

100

Factor completely: a²b²-144a²

a²(b+12)(b-12)

200

Factor completely: x⁴-625

(x+5)(x-5)(x²+25)

300

Factor completely: y⁴-81

(y²+9)(y+3)(y-3)

400

Factor completely: 2x³+14x²-60x

2x(x+10)(x-3)

500

Factor completely: 80-5d²

5(4+d)(4-d)

Factoring he difference of two perfect squares

100

Factor: x²-16

(x+4)(x-4)

200

Factor: 9-x²

(3+x)(3-x)

300

25y²-4k²

(5y+2k)(5y-2k)

400

x²+100

Can not be factored because of the plus sign.

500

(1/4)x²-(49/25)

(1/2x-7/5)(1/2x+7/5)

Rational, Irrational, or Neither? ETC.

100

Sqrt(100) Or -sqrt(49)

Rational

200

Sqrt(80)

irrational

300

An example of a cubic binomial.

Answers vary!  Must have two terms and the highest term is cubed: EX: x³+3x 

400

Sqrt(-1)

neither (complex number)

500

This is what can make an equation NOT qualify as a polynomial.

Division by the variable or absolute value