# What is the leading coefficient of the polynomial when written in standard form?

**leading coefficient**is the

**coefficient**of the first term in a

**polynomial**in

**standard form**. For example, 3x^4 + x^3 - 2x^2 + 7x. This

**polynomial**is in

**standard form**, and the

**leading coefficient**is 3, because it is the

**coefficient**of the first term.

Also, what is the leading coefficient of the polynomial?

The **leading coefficient** in a **polynomial** is the **coefficient** of the **leading** term. In this case, the **leading** term is x5 and the **leading coefficient** is 1 . The **polynomial** degree is 5 , the **leading** term is x5 , and the **leading coefficient** is 1 .

Furthermore, what is the sign of the leading coefficient? Just like regular **coefficients**, they can be positive, negative, real, or imaginary as well as whole numbers, fractions or decimals. For example, in the equation -7x^4 + 2x^3 - 11, the highest exponent is 4. The **coefficient** for that term is -7, which means that -7 is the **leading coefficient**.

Furthermore, what is an example of a polynomial in standard form?

Definition: A **polynomial** is in **standard form** when its term of highest degree is first, its term of 2nd highest is 2nd etc.. **Examples** of **Polynomials in Standard Form**. Non-**Examples** of **Polynomials in Standard Form**. x^{2} + x + 3. 2y ^{4} + 3y ^{5} + 2+ 7.

What are coefficients?

In math and science, a **coefficient** is a constant term related to the properties of a product. In the equation that measures friction, for example, the number that always stays the same is the **coefficient**. In algebra, the **coefficient** is the number that you multiply a variable by, like the 4 in 4x=y.