Can be the degree of the remainder at most when a quadratic polynomial is divided by a quadratic polynomial?

Remainder is of 1 degree when fourth degree polynomial is divided by quadratic polynomial.

What is the possible number of turns for a 4th degree polynomial?

3
Then, identify the degree of the polynomial function. This polynomial function is of degree 4. The maximum number of turning points is 4 – 1 = 3.

What can be the degree of remainder at most when a cubic polynomial is divided by a linear polynomial?

Answer: The degree of the remainder will be 1.

What is the degree of a polynomial with 4 zeros?

Fourth-degree polynomials are also known as quartic polynomials. Quartics have these characteristics: Zero to four roots.

What can be the degree of the remainder?

When a polynomial is divided by x – c, the remainder is either 0 or has degree less than the degree of x – c. Since x – c is degree 1, the degree of the remainder must be 0, which means the remainder is a constant.

How do you find the maximum degree of remainder?

If one polynomial of degree ‘n’ is divided by another polynomial of degree ‘m’ where n>m, the maxinum degree that remainder can have is n-m-1. So, if fourth degree polynomial is divided by quadratic polynomial of degree 2, then remainder can have naximum degree of 1. The at most degree of the remainder would be 1.

What is a degree 4 polynomial?

In algebra, a quartic function is a function of the form. where a is nonzero, which is defined by a polynomial of degree four, called a quartic polynomial. A quartic equation, or equation of the fourth degree, is an equation that equates a quartic polynomial to zero, of the form. where a ≠ 0.

What is a 4 degree polynomial?

Can the remainder be greater than the quotient?

Properties of Remainder: The remainder is always less than the divisor. If the remainder is greater than the divisor, it means that the division is incomplete. It can be greater than or lesser than the quotient. For example; when 41 is divided by 7, the quotient is 5 and the remainder is 6.

When polynomial of degree 4 is divided by quadratic polynomial the power of remainder polynomial is?

Answer: The power of the remainder is two…..

How do you find the naximum degree of a fourth degree polynomial?

If one polynomial of degree ’n’ is divided by another polynomial of degree ‘m’ where n>m, the maxinum degree that remainder can have is n-m-1. So, if fourth degree polynomial is divided by quadratic polynomial of degree 2, then remainder can have naximum degree of 1.

How to find the degree of a polynomial with multiple variables?

As discussed above, the degree of the polynomial with one variable is the higher power of the polynomial expression. But, if a polynomial with multiple variables, the degree of the polynomial can be found by adding the powers of different variables in any terms present in the polynomial expression. The degree of the polynomial is 6.

What is the degree of the polynomial 6×4 + 2×3 + 3?

The degree of the polynomial 6x 4 + 2x 3 + 3 is 4. The degree of the polynomial 3x 8 + 4x 3 + 9x + 1 is 8. We know that the polynomial can be classified into polynomial with one variable and polynomial with multiple variables (multivariable polynomial).

What is the degree of a quadratic polynomial?

A quadratic polynomial is a type of polynomial which has a degree of 2. So, a quadratic polynomial has a degree of 2. What is a 3rd Degree Polynomial?