CASPN Chapter 10 Review + Sci.Not.

Factoring trinomialsa=1

100

Factor into two binomials: x²+8x+12

(x+6)(x+2)

200

Factor into two binomials: m²-11m+18

(m-9)(m-2)

300

Factor into two binomials: x²+5x-24

(x+8)(x-3)

400

Factor into two binomials: y²-6y-7

(y-7)(y+1)

500

Factor into two binomials: x²-x-56

(x-8)(x+7)

Factoring Trinomials- hardera doesn't = 1

100

Factor into two binomials: 2x²+7x+3

(2x+1)(x+3)

200

Factor into two binomials: 5n²+26n+5

(5n+1)(n+5)

300

Factor into two binomials: 3x²-10x+7

(3x-7)(x-1)

400

Factor into two binomials: 7x²-36x+5

(7x-1)(x-5)

500

Factor into two binomials: 2x²-12x+10

(2x-2)(x-5)

Factor by Grouping

100

Factor: 2m³-m²-1m+8

(m²-8)(2m-1)

200

Factor: 56x³+7x²-32x-4

(7x²-4)(8x+1)

300

18x³+21x²+24x+28

(3x²+4)(6x+7)

400

3v³+12v²+2v+8

(3v²+2)(v+4)

500

20n³+32n²-25n-40

(3v²+2)(v+4)

Solution Set

100

(x-4)(x+6)=0

x=4, x=-6

200

(x+1)(x-2)=0

x=-1, x=2

300

(2x+1)(x-3)=0

x=-1/2, x=3

400

(5x-4)(6x+12)=0

x=4/5, x=-2

500

(7x+1)(4x-9)=0

x=-1/7, x=9/4

Scientific Notation

100

How would you write 564,000,000 in scientific notation?

5.64 x 10⁸

200

How would you write 4.3756 x 10⁴ in standard form?

43,756

300

Multiply:
(3.4 x 10⁵)(1.2 x 10^-3)

4.08 x 10²

400

Divide:
(6.9 x 10⁷) / (2.3 x 10^-3)

3 x 10¹⁰

^{If multiplying means adding exponents, dividing means subtracting them!}

500

Which is the smallest?
1.3 x 10²⁰
2.9 x 10²¹
9.5 x 10³²
8.4 x 10¹⁹

8.4 x 10¹⁹