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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 1 options:

Question 2 (5 points)

Factor the polynomial.

b
² + 4
b + 4

Question 2 options:

	(b – 2)²
	(b – 2)(b + 2)
	(b + 2)²
	b(b + 4)

Question 3 (5 points)

Find the product.

(–7
t – 5
v)(–4
t – 3
v)

Question 3 options:

	28t² + 15v²
	28t² + 41tv + 15v²
	–11t – 8v
	28t² – 41tv + 15v²

Question 4 (5 points)

Find the product.

(4
c + 7)
²

Question 4 options:

	16c² + 56c + 49
	16c² + 49c + 49
	16c² + 49
	8c + 14

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 5 options:

	(n + 3)(3n + 5)(3n – 5)
	(9n – 3)(n + 5)(n – 5)
	(9n – 25)(n + 3)(n – 3)

Question 6 (5 points)

Solve the equation.

Question 6 options:

Question 7 (5 points)

Find the product.

–2
s
⁴
t
²(–3
s
⁵
t
⁴ – 8
st
³ – 5
t)

Question 7 options:

	6s²⁰t⁸ + 16s⁴t⁶ + 10s⁴t²
	6s⁹t⁶ + 16s⁵t⁵ + 10s⁴t³
	6s⁹t⁶ + 16s⁵t⁵ + 10t³
	–6s⁹t⁶ – 16s⁵t⁵ – 10s⁴t³

Question 8 (5 points)

Solve the equation.

Question 8 options:

Question 9 (5 points)

Find the sum or difference.

(2
a – 4
a
²) – (–8
a – 6)

Question 9 options:

	4a² + 10a + 6
	–4a² + 10a – 6
	–4a² + 10a + 6
	–4a² + 6a + 6

Question 10 (5 points)

Find the product.

(
b + 4)
²

Question 10 options:

	b² + 8b + 16
	b² + 16
	b² + 16b + 16
	2b + 8

Question 11 (5 points)

Factor the polynomial.

8
g + 16
h

Question 11 options:

	8(0g + 2h)
	0(8g + 2h)
	8h(0g + 2)
	2(0g + 8h)

Question 12 (5 points)

Factor the polynomial.

18
j
²
k – 30
j
⁵
k
⁵ + 54
j
³

Question 12 options:

	6j²(30k – 5j³k⁵ 9j)
	6(3j²k – 5j⁵k⁵ 9j³)
	6j²k(30 – 5j³k⁴ 9j)
	3j²(30k – 5j³k⁵ 9j)

Question 13 (5 points)

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

100
v
² – 324

Question 13 options:

	4(9v + 5)(9v – 5)
	4(5v + 9)(5v – 9)

	(5v + 9)(5v – 9)

Question 14 (5 points)

Find the product.

–5
r
³(2
r
² – 3
r – 5)

Question 14 options:

	–10r⁵ – 15r⁴ – 25r³
	–10r⁵ + 15r⁴ + 25r³
	10r⁵ – 15r⁴ – 25r³
	–10r⁶ + 15r³ + 25r³

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 15 options:

	(5t + 4)(t + 2)
	(5t + 10)(t + 4)
	(5t – 4)(t – 2)
	0prime000

Question 16 (5 points)

Find the product of each sum and difference.

(2
c + 8)(2
c – 8)

Question 16 options:

	4c² – 64
	4c² + 16c – 64
	4c
	4c² + 64

Question 17 (5 points)

Find the product.

(–5
k + 5)(–5
k
² + 2
k – 8)

Question 17 options:

	–5k² – 3k – 3
	25k³ – 35k² + 50k – 40
	–25k³ – 35k² – 30k – 40
	–5k² – 10k – 40

Question 18 (5 points)

Find the product.

(7
r – 8)
²

Question 18 options:

	49r² – 112r + 64
	49r² + 64
	49r² – 112r – 64
	49r² – 64r + 64

Question 19 (5 points)

Find the product.

(6
m
² – 5
m + 4)(–4
m
² – 3
m – 7)

Question 19 options:

	2m² – 8m – 3
	–24m⁴ + 2m³ – 43m² + 23m – 28
	–24m² + 15m – 28
	–24m⁴ – 38m³ – 73m² – 47m – 28

Question 20 (5 points)

Factor the polynomial.

4
m
⁴ + 36
m
³ + 96
m
² + 80
m

Question 20 options:

	m(m + 5)(2m – 4)²
	m(m + 5)(2m + 4)²
	m(m + 5)(2m + 4)(2m – 4)
	(m² + 5m)(2m + 4)²

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Question 1 (5 points)

Question 2 (5 points)

Question 3 (5 points)

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Question 10 (5 points)

Question 11 (5 points)

Question 12 (5 points)

Question 13 (5 points)

Question 14 (5 points)

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Question 17 (5 points)

Question 18 (5 points)

Question 19 (5 points)

Question 20 (5 points)

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