Can a polynomial have a degree of 3?

Answer: The third-degree polynomial is a polynomial in which the degree of the highest term is 3. Explanation: Third-degree polynomial is of the form p(x) = ax3 + bx2+ cx + d where ‘a’ is not equal to zero.It is also called cubic polynomial as it has degree 3.

How many zeros does a polynomial of degree 3 have?

3 zeros
We have a cubic polynomial, it is of degree 3. Hence, there are 3 zeros in a cubic polynomial.

What does it mean if a polynomial is prime?

A polynomial with integer coefficients that cannot be factored into polynomials of lower degree , also with integer coefficients, is called an irreducible or prime polynomial .

What is a polynomial with a degree of 3 and has 3 terms called?

Polynomials of degree 3 are called cubic. Polynomials of higher degree are called quartic, quintic, sextic, septic, octic, nonic, decic, undecic, duodecic.

When a polynomial has more than three terms a method of factoring called?

Monomial. D. None of these. Hint:Polynomial having one term is called monomial and if it has two terms then it is called binomial and if it has three terms then it is called trinomial.

When a polynomial has more than three terms it can sometimes be factored using?

When a polynomial has four or more terms, the easiest way to factor it is to use grouping.

What are the factors of a polynomial with degree 3?

An example of a polynomial (with degree 3) is: p(x) = 4x 3 − 3x 2 − 25x − 6 The factors of this polynomial are: (x − 3), (4x + 1), and (x + 2)

What is the highest degree of a polynomial in standard form?

In the given polynomial, the highest degree is 2. Next, we will check if there is a term with a degree less than 2, i.e., 1, and finally, if there is a term with degree 0, which is the constant term. 5+2x+x 2 in standard form can be written as x 2 +2x+5.

How do you factor a polynomial with a constant of 6?

This generally involves some guessing and checking to get the right combination of numbers. The number 6 (the constant of the polynomial) has factors 1, 2, 3, and 6 (and the negative of each one is also possible) so it’s very likely our a and b will be chosen from those numbers. After some trials, we get:

How do you find the leading coefficient of a polynomial?

We call the term containing the highest power of x (i.e. anxn) the leading term, and we call an the leading coefficient. The degree of the polynomial is the power of x in the leading term. We have already seen degree 0, 1, and 2 polynomials which were the constant, linear, and quadratic functions, respectively.