Understanding and Evaluating the Quadratic Polynomial -12x² in One Variable x

-12x²

3x(-4x)

The expression -12x² is a polynomial in one variable x, where the highest exponent of x is 2 and its coefficient is -12. This polynomial is in standard form, that is, with the terms arranged in descending order of exponent. The degree of this polynomial is 2, which means that it is a quadratic polynomial.

To simplify or evaluate this polynomial, we need to know the value of x. For example, if x = 3, then -12x² = -12(3)² = -108. However, if x = -2, then -12x² = -12(-2)² = -48.

We can also perform some operations on this polynomial, such as adding, subtracting, or multiplying it with other polynomials. For example, if we add 5x² to -12x², we get:

-12x² + 5x² = -7x²

Similarly, if we multiply -12x² by 3x, we get:

-12x²(3x) = -36x³

Overall, -12x² represents a quadratic polynomial with a negative coefficient on the leading term. Its value depends on the value of x, and we can perform operations on it to obtain other polynomials.

More Answers: