Chapter Review

Section 1.4

100

Find the product.

(3x-7)(x+8) = 

(simplify your answer)

3x² + 17x - 56

200

The conjugate of 7-3i is 

7 + 3i

300

The division 2 + 4i / 7 - 5i is performed by multiplying the numerator and denominator by 

7 + 5i

400

Write the expression in the standard form a + bi

(7 + 7i) - (9 - 7i) = 

-2 + 14i

500

Subtract.

6i - (13 - 7i) = 

-13 + 13i

Section 1.4 cont.

100

Find the product and write the result in standard form. 

(7 - 4i)(-8 -6i) =

-80 -10i

200

Find the following product and write the result in standard form, a + bi.

(-5+i)(-5-i) =

26

300

Multiply.

(8 + 9i)² =

-17 + 144i

400

Divide and express the result in standard form. 

9 / 3 - i =

27/10 + 9/10 i

500

Divide and express the result in standard form.

2i / 5 - 6i =

-12/61 + 10/61 i

Chapter Review

100

(5x-4)(3x+6)

15x² + 18x -24

200

(9-4y)(4-5y)

20y² - 61y + 36

300

(4y-7)²

16y² -56y +49

400

Factor.

x³ -4x² +4x -16 =

(x-2)(x+2)

500

(2x²-3)²

4x⁴ -12x²+9

Chapter Review cont.

100

15x²y + 10 xy - 105y 

5y(3x-7)(x+3)

200

121^1/2

11

300

49^1/2

7

400

Square root 21 * square root 15

3 root 35

500

Square root 8x * square root 2x

4x

Slide/Divide and Factor by grouping

100

Factor by grouping

2x²+7x-4

(2x-1)(x+4)

200

Slide/divide

2x²+7x-4

(2x-1)(x+4)

300

Factor by grouping

3x²-2x-5

(3x-5)(x+1)

400

Slide/divide

3x²-2x-5

(3x-5)(x+1)

500

Method of choice

*GCF to simplify

8x²+20x-12

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