Unit 2(mod 6) Review

Factoring Binomials

100

Factor x² - 16

(x + 4)(x - 4)

200

Factor: x³ - 27

(x - 3)(x² + 3x + 9)

300

Factor completely: y⁴-81

(y²+9)(y+3)(y-3)

400

Factor completely: 4x⁴ + 32x

4x(x+2)(x²+2x+4)

500

Factor completely: x⁶-1

(x-1)(x²+x+1)(x+1)(x²-x+1)

Factoring trinomials

100

What is Step 1 of Factoring a Trinomial?

Checking for a GCF

200

Factor: 2x²-24x+54

2(x-9)(x-3)

300

Factor: x³+2x²-24x

x(x+6)(x-4)

400

Factor 2x²-x-6

(x-2)(2x+3)

500

Factor: 8x³+2x²-3x

x(2x - 1)(4x + 3)

Factoring 4-term polynomials

100

Factor: x³+x²+3x+3

(x²+3)(x+1)

200

Factor 6x³+3x²+8x+4

(3x²+4)(2x+1)

300

Factor: 6y³+24y²+2y+8

2(3y³+12y²+y+4)

400

Factor: xy-7y-3x+21

(x-7)(y-3)

500

Factor 6x⁴-3x²-24x²+12x

3x(x+2)(x-2)(2x-1)

Adding, Subtracting, and Multiplying

100

Add (2x³-3x²-17)+(-4x⁴+7x³-2x+5)

-4x⁴+9x³-3x²-2x-12

200

Subtract:(2x³-3x²-17)-(-4x⁴+7x³-2x+5)

4x⁴-5x³-3x²+2x-22

300

Find the perimeter of a rectangle with a width of (x+4) and a length of 3x.

8x+8

400

Multiply: (2x-1)(3x+5)

6x²+7x-5

500

Multiply: (2x+3)(x²-4x+6)

2x³-5x²+18

Is it a factor?

100

How do you know if a binomial is a factor of a polynomial when using synthetic division?

If the remainder is 0

200

(3x²+9x+29); (x-3)

No, (x-3) is not a factor

300

(x⁴+2x³-23x²+3x-18); (x+6)

Yes, (x+6) is a factor

400

(3x⁴+6x³-5x-10); (x+2) 

(x+2) is a factor

500

(4x⁵-3x³+2x²-15); (x-1)

No, (x-1) is not a factor