Chapter 5 Review

Multiplying Polynomials

100

Multiply the Polynomials:

(3x²y)(2x⁴z)(yz)

6x⁶y²z²

200

Multiply the Polynomials:

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

8x² - 8x - 6

300

DOUBLE JEOPARDY--Multiply the Polynomials:

(-2m - n)(m - 2n)

-2m² + 3mn + 2n²

400

Multiply the Polynomials:

(4n - 1)(3n + 4)(n - 5)

12n³ - 47n² - 69n +20

500

Multiply the Polynomials:

(d + 3)(d² - 4d + 1)

d³ - d² -11d + 3

Factoring GCF

100

Factor:

16p⁴ + 4p³

4p³(4p + 1)

200

Factor out the GCF

5a³+2a²

a²(5a+2)

300

Factor:

63 + 45b

9(7 + 5b)

400

Factor:

14a³ + 21a⁶ + 21a⁸

7a³(2 + 3a³ + 3a⁵)

500

DOUBLE JEOPARDY--Factor out the GCF

9x⁶yz − 63x³y²z⁴ − 90x²z

9x²z(x⁴y − 7xy²z³ − 10)

Special Factoring

100

Factor:

x²+4x+4

(x+2)²

200

DOUBLE JEOPARDY--Factor:

x²-9

(x+3)(x-3)

300

Is x²-14x+49 a perfect square trinomial?

Why? (we talked about a way to check for perfect square trinomials)

Yes

1) x² = (x)² i.e. perfect square

2) 49 = (7)² i.e. perfect square

3) 2ab = 2(x)(7) = 14x i.e. middle term

400

Factor:

100p⁴-120p²q+36q²

(10p²-6q)²

500

Factor:

x⁸-256

(x⁴+16)(x²+4)(x+2)(x-2)

General Factoring/Max Method

100

Factor:

p² +2p -35

(p-5)(p+7)

200

Factor:

z² - 4z - 21

(z+3)(z-7)

300

Factor:

-5y² - 22y - 8

(-5y-2)(y+4)

400

Factor:

6v² + 66v + 60  

6(v + 10)(v + 1)  

500

Factor:

5v² − 30v + 40

5(v − 2)(v − 4)

Difficult Factoring

100

2x points--Factor:

t⁴-7t²+18

(t+3)(t-3)(t²+2)

200

2x points--Factor:

(y+3)²+5(y+3)-24

y(y+11)

300

2x points--Factor:

9s²+6sk-8k²

(3s+4k)(3s-2k)

400

2x points--Factor:

(a+b)²-(a-c)²

(2a+b-c)(b+c)

500

2x points--Factor (hint: you will have to add a "+ 4 - 4" at some point to make what you get factorable) 

(a²-4a-1)²-16

(a-3)(a-1)(a-5)(a+1)