Step-by-step explanation:
2. 5x^4 + 12
3. n^2 - 7n - 21
4. 3
5. 2x + 7
6. -8y^2
Answer:
See below
Step-by-step explanation:
Let's classify the given polynomials by their degree and number of terms:
1. 4p³ + 2p² + 19p - 5
- Degree: 3 (the highest power of the variable, which is p, is 3)
- Number of terms: 4 (there are four terms in the expression)
2. 5x⁴ + 12
- Degree: 4 (the highest power of the variable, which is x, is 4)
- Number of terms: 2 (there are two terms in the expression)
3. n² - 7n - 21
- Degree: 2 (the highest power of the variable, which is n, is 2)
- Number of terms: 3 (there are three terms in the expression)
4. 3
- Degree: 0 (since it's a constant, it has no variable part)
- Number of terms: 1 (there is only one term, which is the constant 3)
5. 2x + 7
- Degree: 1 (the highest power of the variable, which is x, is 1)
- Number of terms: 2 (there are two terms in the expression)
6. -8y²
- Degree: 2 (the highest power of the variable, which is y, is 2)
- Number of terms: 1 (there is only one term, which is -8y²)
Answer:
3p^3 + 2p^2 + 19p - 5
Degree: The highest exponent of the variable 'p' is 3, so the degree is 3.
Number of terms: There are 4 terms in this polynomial.
5x^4 + 12
Degree: The highest exponent of the variable 'x' is 4, so the degree is 4.
Number of terms: There are 2 terms in this polynomial.
n^2 - 7n - 21
Degree: The highest exponent of the variable 'n' is 2, so the degree is 2.
Number of terms: There are 3 terms in this polynomial.
3
Degree: The polynomial 3 is a constant term, and constants have a degree of 0.
Number of terms: There is 1 term in this polynomial.
2x + 7 Degree: The highest exponent of the variable 'x' is 1, so the degree is 1.
Number of terms: There are 2 terms in this polynomial.
-8y^2
Degree: The highest exponent of the variable 'y' is 2, so the degree is 2.
Number of terms: There is 1 term in this polynomial.
Therefore, the classification of the given polynomials by degree and number of terms is as follows:
3p^3 + 2p^2 + 19p - 5:
Degree: 3
Number of terms: 4
5x^4 + 12:
Degree: 4
Number of terms: 2
n^2 - 7n - 21:
Degree: 2
Number of terms: 3
3:
Degree: 0 Degree: 0
Number of terms: 1
2x + 7:
Degree: 1
Number of terms: 2
-8y^2:
Degree: 2
Number of terms: 1
Step-by-step explanation:
In algebra, a polynomial is an expression consisting of variables (such as 'x', 'y', or 'p') raised to non-negative integer powers, combined with coefficients (constants), and combined using addition and subtraction operations. The terms within a polynomial are separated by addition or subtraction signs.
The degree of a polynomial is determined by the highest exponent (power) of the variable in the polynomial. It represents the highest power to which the variable is raised. For example, in the polynomial 3p^3 + 2p^2 + 19p - 5, the highest power of the variable 'p' is 3, so the degree of the polynomial is 3.
The number of terms in a polynomial refers to the separate parts that are added or subtracted. In the polynomial 3p^3 + 2p^2 + 19p - 5, there are four terms: 3p^3, 2p^2, 19p, and -5.
Let's break down the classification of each polynomial:
3p^3 + 2p^2 + 19p - 5:
Degree: The highest exponent of the variable 'p' is 3, so the degree is 3.
Number of terms: There are four terms in this polynomial.
5x^4 + 12:Degree: The highest exponent of the variable 'x' is 4, so the degree is 4.
Number of terms: There are two terms in this polynomial.
n^2 - 7n - 21:
Degree: The highest exponent of the variable 'n' is 2, so the degree is 2.
Number of terms: There are three terms in this polynomial.
3:
Degree: The polynomial 3 is a constant term, and constants have a degree of 0 since they have no variables.
Number of terms: There is one term in this polynomial.
2x + 7:
Degree: The highest exponent of the variable 'x' is 1, so the degree is 1.
Number of terms: There are two terms in this polynomial.
-8y^2:
Degree: The highest exponent of the variable 'y' is 2, so the degree is 2.
Number of terms: There is Number of terms: There is one term in this polynomial.
By determining the degree and number of terms in a polynomial, we can gain insights into its properties and behavior, such as its complexity, the number of solutions it may have, or its graph's share
Answer:
25
Step-by-step explanation:
2x-8=x+17
2x-x=17+8
x=25
Answer:
its indices
Step-by-step explanation:
it was I raised to the power of 14 so basically 4 multuplied by 3 + 2 will be equal to 14
and further check the question it seems incomplete
Answer:
i have solved both of ur doubt.