Miscellaneous

Can u factor a polynomial with 4 terms?

Can u factor a polynomial with 4 terms?

A polynomial of four terms, known as a quadrinomial, can be factored by grouping it into two binomials, which are polynomials of two terms. Identify and remove the greatest common factor, which is common to each term in the polynomial. For example, the greatest common factor for the polynomial 5x^2 + 10x is 5x.

What is the formula of polynomials?

As the name suggests, Polynomial is a repetitive addition of a monomial or a binomial. The general Polynomial Formula is written as, $ax^{n} + bx^{n-1} + ….. + rx + s $ If n is a natural number, an – bn = (a – b)(an-1 + an-2b+…+ bn-2a + bn-1)

What is a polynomial with a degree of 4 called?

Degree 4 – quartic (or, if all terms have even degree, biquadratic) Degree 5 – quintic. Degree 6 – sextic (or, less commonly, hexic) Degree 7 – septic (or, less commonly, heptic)

What polynomial has 3 terms?

trinomial
A polynomial with two terms is a binomial, and a polynomial with three terms is a trinomial.

What is a 4 term polynomial called?

Polynomials can be classified by the number of terms with nonzero coefficients, so that a one-term polynomial is called a monomial, a two-term polynomial is called a binomial, and a three-term polynomial is called a trinomial. The term “quadrinomial” is occasionally used for a four-term polynomial.

What is a polynomial with a degree of 5?

quintic function
In other words, a quintic function is defined by a polynomial of degree five. Because they have an odd degree, normal quintic functions appear similar to normal cubic functions when graphed, except they may possess an additional local maximum and local minimum each.

Why can’t a 5th degree polynomial have 4 real zeros?

You are correct that the only zero present is x=2 , however, that zero is repeated because it is the only one present for the 5th degree polynomial. Essentially, the polynomial has 5 zeroes, all of which are x=2 .