The degree of the polynomial x4– 3x3+ 2x2– 5x + 3 is:a)2b)...
**Explanation:**
The degree of a polynomial is the highest power of the variable in that polynomial. In this case, the polynomial is:
x^4 + 3x^3 + 2x^2 + 5x - 3
To find the degree of this polynomial, we need to identify the term with the highest power of x. Let's break down each term in the polynomial:
- The term x^4 has a power of 4.
- The term 3x^3 has a power of 3.
- The term 2x^2 has a power of 2.
- The term 5x has a power of 1.
- The constant term -3 has a power of 0.
As we can see, the term with the highest power of x is x^4. Therefore, the degree of the polynomial is 4.
Therefore, option C is the correct answer.
The degree of the polynomial x4– 3x3+ 2x2– 5x + 3 is:a)2b)...
The degree refers to the highest power of the polynomial. In this polynomial X has highest power 4.So the degree of polynomial is 4.