Question

1.add or subtract.
(4x²+15x-3)-(-3x²+5)
A:7x²+15x-8***
B:x²+12x+2
C:x²+15x-8
D:7x²+8

2.Simplify the polynomial.
-3f²+4f-3+8f²+7f+1
A:5f²-11f+2
B:11f²+11f+2
C:5f²+11f-2
D:-5f²+11f-2***

3.Add or Subtract.
(2x²+6x+1)+(-7x²+2x-3)
A:5x²-4x-2
B:-5x²+8x-2***
C:5x²-8x+2
D:-9x²-8x+2

4:Name the coefficient in the polynomial.
4x²+3x-3
A:4,-3,-3
B:4,3
C:4,3,3***
D:-4,-3

5:how many terms are in the following polynomial?
6x⁴+3x³-2x²+15x-14
A:5***
B:4
C:3
D:2

6:in the expression -7x-5x²+5 what is the coefficient of x?
A:7
B:4
C:3
D:2***

7.write the expression using a single exponent.
2²•2^8***
A:4^10
B:2^10
C:4^16
D:2^16

8:write the expression using scientific notation.
(2.5•10⁴)(4•10³)
A:10•10^8***
B:10•10^8
C:1•10^8
D:10•10^12

My Answers
1.A
2.C
3.B
4.B
5.A
6.D
7.B
8.C

Answer 1

Sorry my really answers are on the bottom i forgot to erase the ***

Answer 2

1.A - yes
2.C - yes
3.B - yes
4.B - yes
5.A - yes
6.D - I don't think so -- but I'm not sure.
7.B - I don't think so -- but I'm not sure.
8.C - I don't know.

Answer 3

6. B??

Answer 4

They're all correct
1. A
2. C
3. B
4. B
5. A
6. D
7. B
8. C
9. for the last question you could do
5x5x5x5x5x5x5x5x5x5x5 = 48,828,125. or 5^4 + 5^7
Your welcome. 🥸

Answer 5

9.
List three different ways to write 511 as the product of two powers. Explain why all three of your expressions are equal to 511.

HELP BOT

Answer 6

Thank you for the correction on the last question. It was not originally included in the post.

Answer 7

One way to write 511 as the product of two powers is 511 = 7^1 * 73^1. Another way is 511 = (2^9 - 1) * 1^1. Finally, 511 = (2^4 + 2^3 + 2^2 + 2^1 + 2^0)^1.

All three expressions are equal to 511 because they follow the basic rule of exponentiation that says a^m * a^n = a^(m+n). In particular:

7^1 * 73^1 = 511 because 7 * 73 = 511.
(2^9 - 1) * 1^1 = 511 because 511 = (2^9 - 1) + 1, and 2^9 - 1 = (2^4 + 2^3 + 2^2 + 2^1 + 2^0)*(2^4 - 1).
(2^4 + 2^3 + 2^2 + 2^1 + 2^0)^1 = 511 because 2^4 + 2^3 + 2^2 + 2^1 + 2^0 = 31, and 511 = 31 * 16 + 15.