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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 monomial
So 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 the
exponents 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.
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Is this a polynomial or binomial or trinomial 4x2?
It is a polynomial (monomial). It is a polynomial (monomial). It is a polynomial (monomial). It is a polynomial (monomial).
How is the degree of a polynomial determined?
The Degree (for a polynomial with one variable) is the largest exponent of that variable.
Is every monomial a polynomial?
Yes. A monomial is a zero-degree polynomial. Although the prefix poly means "several" the definition allows for any finite number of terms.
Why is it that monomial is a polynomial?
A monomial is simply a special case of a polynomial - one with a single term.
Is every term a monomial?
Every term of a polynomial is a monomial.
Is this a polynomial or binomial or trinomial 4x2?
It is a polynomial (monomial). It is a polynomial (monomial). It is a polynomial (monomial). It is a polynomial (monomial).
What type of polynomial is formed by adding a second degree binomial to a fourth degree monomial. State the degree of this polynomial?
A fourth degree polynomial.
How is the degree of a polynomial determined?
The Degree (for a polynomial with one variable) is the largest exponent of that variable.
What is the highest power of a polynomial called?
degree of monomial
An expression must have a monomial of degree 2 or higher to be a polynomial?
False
Classify the polynomial by its degree and by the number of terms.5m?
linear monomial
Is every monomial a polynomial?
Yes. A monomial is a zero-degree polynomial. Although the prefix poly means "several" the definition allows for any finite number of terms.
What is the definition of a degree of a monomial?
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.
What is a polynomial divided by a polynomial?
monomial
How do you multiply monomial by a polynomial?
you foil it out.... for example take the first number or variable of the monomial and multiply it by everything in the polynomial...
Why is it that monomial is a polynomial?
A monomial is simply a special case of a polynomial - one with a single term.
What are three types of polynomials?
binomial, trinomial, sixth-degree polynomial, monomial.
