2x^3-7x^2+10x-2
The given expression is 2x^3 - 7x^2 + 10x - 2.
This expression cannot be simplified further as it is already in its simplest polynomial form.
We can factorize it further if required.
2x^3-7x^2+10x-2
Your answer:_____terms
The expression 2x^3 - 7x^2 + 10x - 2 has four terms.
The expression you provided is a polynomial. To simplify or analyze it further, we can use various methods.
First, let’s discuss the Polynomial Degree and Coefficients:
- Polynomial Degree: The power of the highest exponent in the polynomial determines its degree. In this case, the highest exponent is 3, so the degree of the polynomial is 3.
- Coefficients: The coefficients are the numbers multiplying each term. In our polynomial, the coefficients are 2, -7, 10, and -2.
Next, let's address different operations that can be performed on a polynomial:
1. Addition/Subtraction: To add/subtract polynomials, combine the like terms, which means adding/subtracting the coefficients of the same degree terms. However, in this case, we only have one polynomial, so we don't have anything to add or subtract.
2. Multiplication: To multiply a polynomial by another polynomial, distribute each term of the first polynomial to every term of the second polynomial, following the rules of multiplication. However, in this case, we only have one polynomial, so we don't have anything to multiply it by.
3. Factorization: Factoring a polynomial involves splitting it into its irreducible factors. However, our polynomial is already in its factored form.
To simplify the given polynomial expression, we can arrange the terms in decreasing order of their exponents:
2x^3 - 7x^2 + 10x - 2
That is the simplest form we can achieve for this polynomial expression.