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I guess you should have studied.

The answer is quite easy, and if you'd bothered to read the textbook, you would have been able to answer this question.

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Q: If a fourth-degree polynomial is multiplied by a third-degree polynomial what is the degree of the product Explain your reasoning and provide examples to support your explanation?
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A number or polynomial that is multiplied by another number to form a product?

Is also a number or polynomial.


Give an example of a polynomial?

6x+5b+3, see related link for a thorough explanation of what a polynomial is.


Explain the steps used to divide a polynomial by a polynomial?

You can find explanation and examples here: http://en.wikipedia.org/wiki/Polynomial_division


What is the different of polynomial and non-polynomial?

Briefly: A polynomial consists only of powers of the variables - ie the variables multiplied by themselves or one another. A non polynomial can include any other function such as trigonometric, exponential, logarithmic etc.


Is the factor of polynomials means to rewrite it as multiplication?

Yes. Factoring a polynomial means to separate it into smaller factors, which, when multiplied together, give you the original polynomial.


What is algebraic numbers?

An algebraic number is one that is a root to a non-zero polynomial, in one variable, whose coefficients are rational numbers.Equivalently, if the polynomial is multiplied by the LCM of the coefficients, the coefficients of the polynomial will all be integers.


What is the difference between a term and a polynomial?

A term only has variables and constants multiplied among themselves (or, in some cases, divided), such as 5xy, or -3x3. A polynomial is the sum of several such terms.


How do you find the GCF when factorizing polynomials?

Conventionally, it is a numerical coefficient multiplied by the highest power of the variable in the polynomial.


How can you tell if a polynomial is a perfect square?

Let's take a quadratic polynomial. There are three terms in a quadratic polynomial. Example: X^2 + 8X + 16 = 0 To satisfy the criteria of a perfect square polynomial, the first and last term of the polynomial must be squares. The middle term must be either plus or minus two multiplied by the square root of the first term multiplied by the square root of the last term. If these three criteria are satisifed, the polynomial is a perfect square. Let us take the above quadratic. X^2 + 8X + 16 = X^2 + 2(4X) + 4^2 = (X+4)^2 As we can see, each criteria is satified and the polynomial does indeed form a perfect square.


What is polynomia?

A polynomial is a math expression that has a sum of terms, each of the terms include a variable or variables multiplied by a coefficient and raised to a power.


Is y plus 2y plus y a polynomial?

YES! A polynomial is made up of terms that are only added, subtracted or multiplied. Division is not allowed. It may have constants, exponents or variables. A monomial is one type of polynomial. y+2y is the same as 4y which is a monomial. It has degree 1 since the exponent on y is 1.


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).