I’m trying to study for my Algebra course and I need some help to understand this question.

## Question 1 (5 points)

*Solve the equation.*

## Question 2 (5 points)

*Factor the polynomial.*

*b*

^{2} + 4

*b* + 4

## Question 3 (5 points)

*Find the product.*

(–7

*t* – 5

*v*)(–4

*t* – 3

*v*)

## Question 4 (5 points)

*Find the product.*

(4

*c* + 7)

^{2}

## Question 5 (5 points)

*Factor the polynomial, if possible. If the polynomial cannot be factored, write prime.*

9

*n*

^{3} + 27

*n*

^{2} – 25

*n* – 75

## Question 6 (5 points)

*Solve the equation.*

## Question 7 (5 points)

*Find the product.*

–2

*s*

^{4}

*t*

^{2}(–3

*s*

^{5}

*t*

^{4} – 8

*st*

^{3} – 5

*t*)

## Question 8 (5 points)

*Solve the equation.*

## Question 9 (5 points)

*Find the sum or difference.*

(2

*a* – 4

*a*

^{2}) – (–8

*a* – 6)

## Question 10 (5 points)

*Find the product.*

(

*b* + 4)

^{2}

## Question 11 (5 points)

*Factor the polynomial.*

8

*g* + 16

*h*

## Question 12 (5 points)

*Factor the polynomial.*

18

*j*

^{2}

*k* – 30

*j*

^{5}

*k*

^{5} + 54

*j*

^{3}

## Question 13 (5 points)

*Factor the polynomial, if possible. If the polynomial cannot be factored, write prime.*

100

*v*

^{2} – 324

## Question 14 (5 points)

*Find the product.*

–5

*r*

^{3}(2

*r*

^{2} – 3

*r* – 5)

## Question 15 (5 points)

*Factor the trinomial, if possible. If the trinomial cannot be factored using integers, write prime.*

5

*t*

^{2} + 14

*t* + 8

## Question 16 (5 points)

*Find the product of each sum and difference.*

(2

*c* + 8)(2

*c* – 8)

## Question 17 (5 points)

*Find the product.*

(–5

*k* + 5)(–5

*k*

^{2} + 2

*k* – 8)

## Question 18 (5 points)

*Find the product.*

(7

*r* – 8)

^{2}

## Question 19 (5 points)

*Find the product.*

(6

*m*

^{2} – 5

*m* + 4)(–4

*m*

^{2} – 3

*m* – 7)

## Question 20 (5 points)

*Factor the polynomial.*

4

*m*

^{4} + 36

*m*

^{3} + 96

*m*

^{2} + 80

*m*