Question

Anyone go to connections? need help on the Unit 2 test? Polynomials and Factoring?

Answer 1

1. 2x4 – 8x4 (1 point)
–6x8
–6x4
–16x4
–16x8
What is the sum or difference?
2. 10y10 – 14y10 (1 point)
–4y20
–140y20
–140y10
–4y10
Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.

3. 2 – 11x2 – 8x + 6x2 (1 point)
–5x2 – 8x + 2; quadratic trinomial
–5x2 – 8x; quadratic binomial
–6x2 – 8x – 2; cubic polynomial
6x2 – 8x + 2; cubic trinomial
4. A biologist studied the populations of black bear and brown bears over a 10-year period. The biologist modeled the populations, in thousands, with the following polynomials where x is time, in years.

black bears: 2.3x2 – 5.6x + 2.3

brown bears: 2.4x2 + 7.2x + 0.97

What polynomial models the total number of brown and black bears? (1 point)
4.7x2 + 1.6x + 3.27
4.7x2 – 1.6x – 3.37
4.7x2 + 1.6x – 3.37
4.7x2 – 1.6x + 3.37
5. A family is having a pool built in their backyard. If their yard is rectangular and measures 7x by 6x and the pool is circular with a radius of 2x how much of the yard will be left over after the pool is built? (1 point)
38x2
42x2 – 4pix2
42x2 – 2pix2
38pix2
6. A sports team is building a new stadium on a rectangular lot of land. The lot measures 8x by 12x and the field will be 3x by 6x. How much land will be left for the bleachers, restrooms, and other parts of the stadium? (1 point)
78x2
114x2
96x2
30x2
7. Simplify the product using the distributive property.

(4r –5)(7r + 2) (1 point)
28r2 + 43r – 10
28r2 – 27r + 10
28r2 + 43r + 10
28r2 – 27r – 10
Simplify the product using a table.
8. (5h + 4)(3h + 6)



3h

6

5h





4





(1 point)
15h2 + 42h + 24
15h2 – 42h + 24
15h2 + 18h – 24
15h2 – 18h – 24
9. Simplify using a table.

(–5y + 3)(2y + 5)
–5y 3
2y
5
(1 point)
–10y2 + 31y + 15
–10y2 – 31y – 15
–10y2 + 19y – 15
–10y2 – 19y + 15
10. Simplify the product using FOIL.

(3x – 4)(6x – 2) (1 point)
18x2 + 30x – 8
18x2 + 18x – 8
18x2 – 30x + 8
18x2 – 18x + 8
11. A cylinder has a radius of 2x + 3 and a height of 6x + 1. Which polynomial in standard form best describes the total volume of the cylinder? Use the formula V=pir2h for the volume of a cylinder. (1 point)
12pix2 + 20pix + 3pi
24pix3 + 76pix2 + 66pix + 9pi
144pix4 + 480pix3 + 472pix2 + 120pix + 9pi
72pix3 + 132pix2 + 38pix + 3pi
12. A sphere has a radius of 3x + 2. Which polynomial in standard form best describes the total surface area of the sphere? Use the formula S = 4pir2 for surface area of a sphere. (1 point)
16pix2 + 16pi
16pix2 + 48pix + 16pi
36pix2 + 48pix + 16pi
36pix2 + 24pix + 16pi
13. What is a simpler form of the product? (5x – 3y5)2 (1 point)
25x2 – 15xy5 + 9y10
25x2 – 30xy5 – 9y10
25x2 – 30xy5 + 9y10
25x2 + 9y10
14. Factor.

6x3 + 5x2 – 18x – 15 (1 point)
(6x + 5)(x2 – 3)
(6x + 5)(x2 + 3)
(6x – 5)(x2 + 3)
(6x – 5)(x2 – 3)
15. The area of a rectangular room is given by the trinomial x2 + 4x – 12. What are the possible dimensions of the rectangle? Use factoring. (1 point)
(x – 6) and (x – 2)
(x + 6) and (x + 2)
(x – 6) and (x + 2)
(x + 6) and (x – 2)
16. The area of a rectangular table is given by the trinomial x2 + 7x – 30. What are the possible dimensions of the rectangle? Use factoring. (1 point)
(x + 10) and (x – 3)
(x – 10) and (x – 3)
(x + 10) and (x + 3)
(x – 10) and (x + 3)
17. What is the factored form of the following expression?

x2 + 2xy – 48y2 (1 point)
(x + 6y)(x – 8y)
(x – 6y)(x – 8y)
(x + 6y)(x + 8y)
(x – 6y)(x + 8y)
18. The area of a rectangular barnyard is given by the trinomial 6x2 + 7x – 20. What are the possible dimensions of the barnyard? Use factoring. (1 point)
2x – 5 and 3x + 4
–2x + 5 and –3x + 4
2x + 5 and 3x – 4
2x – 5 and 3x – 4
19. The area of a rectangular carpet is given by the trinomial 5x2 – 3x – 14. What are the possible dimensions of the carpet? Use factoring. (1 point)
(5x + 7) and (–x – 2)
(5x + 7) and (x – 2)
(5x – 7) and (x – 2)
(5x – 7) and (x + 2)
20. A family is building a rectangular patio in their backyard. The rectangular yard has dimensions of (8x+2) by (6x + 3) and they are planning the patio to be (x + 5) by (3x + 1). What is the area of the remaining yard after the patio has been built? (1 point)
3x2 + 16x + 5
48x2 + 36x + 6
51x2 + 52x + 11
45x2 + 20x + 1
21. What is the factored form of the expression?

w2 + 16w + 64 (1 point)
(w + 8)(w – 8)
(w + 64)(w – 1)
(w + 8)2
(w – 8)2
22. What is the factored form of the expression?

r2 + 20r + 100 (1 point)
(r + 10)(r – 10)
(r + 50)(r – 2)
(r – 10)2
(r + 10)2
23. What is the factored form of the expression?

t2 – 81 (1 point)
(t + 9)(t – 9)
(t + 81)(t – 1)
(t + 9)2
(t – 9)2
24. A box has a volume given by the trinomial x3 + 4x2 – 5x. What are the possible dimensions of the box? Use factoring. (1 point)
x, x – 5, and x + 1
x, x + 5, and x – 1
x, x + 5, and x + 1
x, x – 5, and x – 1
25. A refrigerator has a volume given by the trinomial y3 + y2 – 56y. What are the possible dimensions of the refrigerator? Use factoring. (1 point)
y, y + 8, and y – 7
y, y – 8, and y + 7
y + 7, y + 7, and y – 7
y + 8, –y + 8, and –y + 7

Answer 2

Did you get these answers? im stuck on it right now.