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A fourth degree polynomial.

Q: What type of polynomial is formed by adding a second degree binomial to a fourth degree monomial. State the degree of this polynomial?

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binomial, trinomial, sixth-degree polynomial, monomial.

degree of monomial

False

Since no terms are added, it is a monomial (one term). Adding the powers of the variables (three variables, each to the first power), you see that it is of degree 3.

That means that the monomial of the highest degree has a degree higher than 1. For example: x + 5 3x - 7 -27x + 8

Related questions

binomial, trinomial, sixth-degree polynomial, monomial.

The Degree (for a polynomial with one variable) is the largest exponent of that variable.

degree of monomial

False

linear monomial

A binomial.

Yes. A monomial is a zero-degree polynomial. Although the prefix poly means "several" the definition allows for any finite number of terms.

It's a monomial of 1st degree (linear). "3x over seven" = (3/7)x The x term (indeed the ONLY term -- hence monomial) has a coefficient of 3/7. Since the variable x appears to the 1st power, it's 1st degree.

A degree of a monomial is simply what exponent or power the monomial is raised to. Key: ^ means "raised to the power of" -5t^2 means the degree is 2, the number is -5, and the variable which is being put to the power of, is t. the degree has a little trick, however. If there are three monomials or more, being added or subtracted, to make a polynomial, and each has a degree (lone variable has a degree of 1) and the monomial that has the highest degree represnts the whole polynomial's degree.

The degree is the highest power of the variable that appears in it.(x2 + x + 9) is a second degree polynomial(Q4 - 72) is a fourth degree polynomial( z ) is a first degree monomialSo the degree of a polynomial in one variable is the highest power of the variable.For example, [ 2x3 - 7x ] has degree 3.The degree of a polynomial in two or more variables is the greatest sum of theexponents in any single term.For example, [ 5m3 + m2n - mn2 ] has degree 4.And a degree of a monomial is the sum of the exponents of its variables.For example, [ 4a2b3 ] has degree 5.

Since no terms are added, it is a monomial (one term). Adding the powers of the variables (three variables, each to the first power), you see that it is of degree 3.

That means that the monomial of the highest degree has a degree higher than 1. For example: x + 5 3x - 7 -27x + 8