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:5
C:-5
D:-7
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•10^7
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
all correct. good work
Your answers are correct! Well done!
1. A: 7x²+15x-8
2. C: 5f²+11f-2
3. B: -5x²+8x-2
4. B: 4, 3
5. A: 5
6. D: -7
7. B: 2^10
8. C: 1•10^8
1. To solve this problem, we need to distribute the negative sign to the terms in the second set of parentheses and then combine like terms.
Starting with (4x²+15x-3)-(-3x²+5):
Distribute the negative sign to each term in the second set of parentheses:
(4x²+15x-3) + (3x²-5)
Now, combine like terms:
4x² + 3x² + 15x - 5 - 3
Simplify further:
7x² + 15x - 8
Therefore, the correct answer is option A: 7x² + 15x - 8.
2. To simplify the polynomial -3f²+4f-3+8f²+7f+1, we need to combine like terms.
Starting with -3f² + 4f - 3 + 8f² + 7f + 1:
Combine like terms:
(-3f² + 8f²) + (4f + 7f) + (-3 + 1)
Simplify further:
5f² + 11f - 2
Therefore, the correct answer is option A: 5f² - 11f + 2.
3. To add or subtract (2x²+6x+1)+(-7x²+2x-3), we need to combine like terms.
Starting with (2x²+6x+1)+(-7x²+2x-3):
Combine like terms:
(2x² - 7x²) + (6x + 2x) + (1 - 3)
Simplify further:
-5x² + 8x - 2
Therefore, the correct answer is option B: -5x² + 8x - 2.
4. To find the coefficient in the polynomial 4x²+3x-3, we need to identify the term without a variable.
The coefficient is the numerical value in front of the variable.
In this case, we have:
4x² has a coefficient of 4
3x has a coefficient of 3
-3 is a constant term
Therefore, the correct answer is option B: 4, 3.
5. To find the number of terms in the polynomial 6x⁴+3x³-2x²+15x-14, we count the number of different terms present.
In this case, we have:
6x⁴ is the first term
3x³ is the second term
-2x² is the third term
15x is the fourth term
-14 is the fifth term
Therefore, the correct answer is option A: 5.
6. To find the coefficient of x in the expression -7x-5x²+5, we look at the term that includes x (not x²).
The coefficient is the numerical value in front of the variable.
In this case, we have:
-7x has a coefficient of -7
-5x² has a coefficient of -5
5 is a constant term
Therefore, the correct answer is option D: -7.
7. To write the expression 2²•2^8 using a single exponent, we need to simplify the base before combining the exponents.
Starting with 2²•2^8:
Simplify the base: 2² = 4
Combine the exponents: 4^10
Therefore, the correct answer is option A: 4^10.
8. To write the expression (2.5•10⁴)(4•10³) using scientific notation, we need to multiply the numbers and combine the exponents.
Starting with (2.5•10⁴)(4•10³):
Multiply the numbers: 2.5 * 4 = 10
Combine the exponents: 10⁴ * 10³ = 10⁷
Therefore, the correct answer is option B: 10•10^7.