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
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.
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. 🥸
Sorry my really answers are on the bottom i forgot to erase the ***
6. B??
Thank you for the correction on the last question. It was not originally included in the post.
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
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.