Unit 3 Review

Mono/Polynomials

100

What is degree of this Monomial.

7xy²

3

200

What is the degree of this monomial?

10gz⁴d⁵j⁹x

20

300

Write this polynomial in standard form.

-5x+6x³-2x²+10+4x⁴

4x⁴+6x³-2x²-5x+10

400

What is the degree of this polynomial?

8x+7-3x²+10x⁴-9x³

4

500

Name this polynomial.

7x⁴-x-2x³+3x⁵+5x²+2

Quintic 6 term polynomial

Add/Subtract/Multiply

100

Add

(7x²+6) + (3x³+7x²+5x)

3x³+14x²+5x+6

200

6v(2v+3)

12v²+18v

300

Subtract

(6b³-5b+10) - (9b+6-7b³)

13b³-14b+4

400

Multiply

(n²+6n-4)(2n-4)

2n³+8n²-32n+16

500

(6n²-6n-5)(7n²+6n-5)

42n⁴-6n³-101n²+25

Divide/Pascal

100

Use Pascal's Triangle

(x-5)³

x^3-15x²+75x-125

200

(x²+10x-24) divided by   (x-2)

1x+12

300

(3x²-4x+7) divided by (x-5)

3x+11+ 62/x-5

400

(x³-3x²+8) divided by (x+2)

x²-5x+10 - 12/x+2

500

Use Pascal's Triangle

(2x+3y)⁴

16x⁴+96x³y+216x²y²+216xy³+81y⁴

Composition and Inverse

100

Find f(g(-3)

f(x)= 2x-5   g(x)= x²

13

200

Find f(g(-4))

g(x)=  -x²-5x   f(x)=  x+5

9

300

Find f(g(x))

f(x)= x-5    g(x)= 4x+3

4x-2

400

Find g(f(x))

g(x)=3x+2   f(x)=x³-3x²

3x³-9x²+2

500

Using Compostition of funtions, are these functions inverses of eachother?

f(x)= √(x+2)    g(x)= x²-2

Yes

Complex Numbers and Operations

100

i³⁶⁵

i

200

Give the complex conjugate.

-3+8i

-3-8i

300

(4 - 2i) - (-2 +8i⁴)

-2 -2i

400

Simplify:

4i(-2 - 8i)

32-8i

500

Multiply

(3 + 5i) (6 - 3i)

33 + 21i