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
9:list three different ways to write 5¹¹ as the products of two powers.Explain why all three of your expressions are equal to 5¹¹.
(5¹¹,5•5•5•5•5•5•5•5•5•5•5,5^5•5^6 all three of my extrusions are equal to 5¹¹ by having 5¹¹ of course that is equal,by putting 5•5•5•5•5•5•5•5•5•5•5 I have 11 5's which equals to 5¹¹ and I also have 5^5•5^6 which is a 5 add 5 and 6 that's 11 so that equals 5¹¹
Please correct me if I'm wrong. I'm not sure if its all right. Thank you
1. To solve this problem, we need to perform the subtraction of polynomials. The given expression is (4x²+15x-3)-(-3x²+5). To subtract these polynomials, we need to distribute the negative sign to each term inside the parentheses of the second polynomial. This gives us (4x²+15x-3) + (3x²-5). Now, we can combine like terms by adding the coefficients of the same degree terms. The simplified expression is 7x² + 15x - 8. Therefore, the correct answer is A: 7x² + 15x - 8.
2. To simplify the polynomial -3f² + 4f - 3 + 8f² + 7f + 1, we need to combine like terms. Like terms are terms that have the same variable raised to the same power. So, we can combine the f² terms, the f terms, and the constant terms. Simplifying, we have (-3f² + 8f²) + (4f + 7f) + (-3 + 1) = 5f² + 11f - 2. Therefore, the correct answer is A: 5f² - 11f + 2.
3. To add or subtract the polynomials (2x² + 6x + 1) + (-7x² + 2x - 3), we need to combine like terms. We can distribute the negative sign to each term inside the parentheses of the second polynomial, giving us (2x² + 6x + 1) + (-7x² + 2x) + (-3). Now, we can combine like terms by adding the coefficients of the same degree terms. Simplifying, we have (2x² - 7x²) + (6x + 2x) + (1 - 3) = -5x² + 8x - 2. Therefore, the correct answer is B: -5x² + 8x - 2.
4. The coefficient of a term in a polynomial is the numerical factor that multiplies the variable. In the polynomial 4x² + 3x - 3, the coefficients are 4, 3, and -3. Therefore, the correct answer is C: 4, 3, 3.
5. To determine the number of terms in the polynomial 6x⁴ + 3x³ - 2x² + 15x - 14, we count the individual terms. In this polynomial, there are five terms, each separated by addition or subtraction. Therefore, the correct answer is A: 5.
6. The coefficient of x is the numerical factor that multiplies the variable x. In the expression -7x - 5x² + 5, the coefficient of x is -5. Therefore, the correct answer is D: -5.
7. To write the expression 2² • 2^8 using a single exponent, we need to simplify the expression on the left side of the multiplication symbol. 2² means 2 raised to the power of 2, which is 2 • 2 = 4. Therefore, the expression becomes 4 • 2^8. Now, we can multiply the coefficients together to get 4 • 2^8 = 32 • 2^0 = 32. The exponent of 2^0 is 0, and any number raised to the power of 0 is equal to 1. Therefore, the final answer is 32. Therefore, the correct answer is not listed among the options provided.
8. To write the expression (2.5 • 10⁴)(4 • 10³) using scientific notation, we need to multiply the coefficients together and add the exponents. 2.5 • 4 = 10, and 10⁴ • 10³ = 10⁷. Therefore, the expression becomes 10 • 10⁷ = 10⁸. Using scientific notation, this can be written as 1 • 10⁸. Therefore, the correct answer is C: 1 • 10⁸.
9. To write 5¹¹ as the product of two powers, we can express it in multiple ways:
- 5¹¹ = 5 • 5 • 5 • 5 • 5 • 5 • 5 • 5 • 5 • 5 • 5
- 5¹¹ = 5⁵ • 5⁶
Both of these expressions are equal to 5¹¹ because when you multiply 5 by itself 11 times, regardless of how you group or arrange the multiplication, the result will always be 5¹¹. Therefore, all three of your expressions are correct and equal to 5¹¹.
#2 is C, -3f^2 + 8f^2 = +5f^2
#4 debatable point here. Coefficient usually refers to the constant in front of a variable, so the last -3 does not have a variable, thus it is a constant
I would say: 4,3 , which makes it B
#6, the x term is -7x, so the coefficient is -7
which is not one of the choices.
This question is incorrect.
in #7, you put your *** behind the actual question
2^2 * 2^8 = 2^10 , which is B
#8 , in scientific notation we start with a number between 1 and 10 followed by a power of 10
2.5*10^4 * 4*10^3
= 10 * 10^7
= 1.0 * 10^8 which is C
All others are correct
1.A
2.C
3.B
4.B
5.A
6.D
7.B
8.C
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