Question

Can someone check my answers please? Algebra.?


1. What is the degree of the monomial?
4x6 (1 point)

4
10
6**
24

2. What is the degree of the monomial?
–2 (1 point)

–2**
–3
0
–1

3. What is the sum or difference?
5x8 + 9x8 (1 point)

45x8
–4x8**
14x16
14x8

4. What is the sum or difference?
5y4 – 9y4 (1 point)

–45y4
14y4
–4y4
–4y8**

5. Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.
5x + 2x4 – 4 (1 point)

5x – 4 + 2x4; not a polynomial**
2x4 + 5x – 4; fourth-degree

Answer 1

5x + 2x4 – 4; quadratic monomial
2x4 + 5x – 4; cubic binomial

6. Simplify the sum.
(4u3 + 5u2 + 6) + (8u3 – 7u + 2) (1 point)

12u3 + 5u2 – 7u + 8**
12u3 – 2u2 – 7u + 8
–4u3 – 7u2 + 5u – 8
–4u3 + 5u2 – 7u + 8

7. Simplify the sum.
(5u3 + 5u2 + 3) + (2u3 – 3u + 8) (1 point)

3u3 – 3u2 + 5u – 11
3u3 + 5u2 – 3u + 11**
7u3 + 2u2 – 3u + 11
7u3 + 5u2 – 3u + 11

8. Find the GCF of the terms of the polynomial.
32x2 + 28x6 (1 point)

4x2
x2
4x6**
28x2

9. Find the GCF of the terms of the polynomial.
16x4 + 38x3 (1 point)

16x**
x3
2x4
2x3

10. Simplify the product using the distributive property.
(2h + 2)(2h + 6) (1 point)

4h2 – 8h – 12**
4h2 + 8h – 12
4h2 + 16h + 12
4h2 – 16h + 12

11. Simplify the product using FOIL.
(3x – 5)(3x + 7) (1 point)

9x2 + 6x – 35**
9x2 + 36x + 35
9x2 – 6x – 35
9x2 – 36x + 35

12. What is a simpler form of the expression?
(3k + 4)(2k2 – 3k – 5) (1 point)

6k3 + 17k2 – 3k – 20
6k3 – k2 – 27k – 20
6k3 – k2 + 3k – 20**
6k3 + 27k2 – k – 20

15. What is a simpler form of the following expression?
(3m2 – 6)(3m2 + 6) (1 point)

9m3 – 36
9m2 – 36**
9m4 + 36
9m4 – 36

16. What is the factored form of the expression?
d2 + 5d + 4 (1 point)

(d – 1)(d + 4)
(d + 1)(d + 4)**
(d – 1)(d – 4)
(d + 1)(d – 4)

17. What is the factored form of the expression?
x2 + xy – 2y2 (1 point)

(x + y)(x – 2y)
(x + y)(x + 2y)
(x – y)(x – 2y)
(x – y)(x + 2y)**

18. What is the factored form of the expression?
56x2 + 85x + 24 (1 point)

(8x + 3)(7x – 8)**
(8x + 3)(7x + 8)
(8x – 3)(7x – 8)
(8x – 3)(7x + 8)

19. What is the factored form of the expression?
6x2 + 17x + 12 (1 point)

(3x – 4)(2x + 3)
(3x – 4)(2x – 3)
(3x + 4)(2x + 3)**
(3x + 4)(2x – 3)

20. What is the factored form of the expression?
6g2 + 5g – 6 (1 point)

(3g – 2)(2g – 3)**
(3g + 2)(2g – 3)
(3g + 2)(2g + 3)
(3g – 2)(2g + 3)

21. What is the factored form of the expression?
28g2 – 37gh – 21h2 (1 point)

(4g + 7h)(7g – 3h)
(4g + 7)(7g + 3h2)
(4g – 7)(7g + 3)
(4g – 7h)(7g + 3h)**

22. What is the factored form of the expression?
168y2 – 99y – 42 (1 point)

3(8y – 7)(7y + 2)
(8y – 7)(21y + 6)**
(8y + 7)(7y – 2)
3(8y + 7)(7y + 2)

23. Find the radius of a circle with an area of CE_pi_large(16x2 + 24x + 9). Use the formula A = CE_pi_larger2 to find the area of a circle. (1 point)

3x – 4
9x – 16**
16x + 9
4x + 3

24. What is the factored form of the expression?

80x2 + 120x + 45 (1 point)

5(4x + 3)2
5(16x + 9)2
5(3x + 3)2**
5(3x + 9)2

25. A refrigerator has a volume given by the trinomial y3 + 3y2 – 10y. What are the possible dimensions of the refrigerator? Use factoring. (1 point)

y – 2, –y – 2, and –y – 5
y – 5, y – 5, and y + 5**
y, y + 2, and y – 5
y, y – 2, and y + 5

Answer 2

Can someone please check these? They need to be done by tomorrow and I don't want a bad grade.

Answer 3

1✓,2✓
try 3,4,5 again
6✓,
try 7,8,9,10,11,12,15 again
16✓,17✓,
try 18,19,20, again
21✓,22✓
i dont understand 23
try 24,25 again

Answer 4

\[ax^n+bx^n=(a+b)x^n\]\[(a+b)(c+d)=ac+ad+bc+bd\]

Answer 5

Thank you! c: