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Multiply the two polynomials by distributing (x2 3x plus 2)(x plus 2)?

The idea here is to multiply each term in the first polynomial by each term in the second 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 (9x2 10x 4) (9x2 5x 1?

To multiply the polynomials ( (9x^2 + 10x + 4) ) and ( (9x^2 + 5x + 1) ), you can use the distributive property (also known as the FOIL method for binomials). Multiply each term in the first polynomial by each term in the second polynomial, then combine like terms. The resulting polynomial will be a degree 4 polynomial. For the full expansion, the result is ( 81x^4 + 85x^3 + 49x^2 + 20x + 4 ).


What is the polynomial of 2 x?

this term 2x is not a polynomial. this term is a monomial. since only one term was listed it can not be a polynomial. A polynomial is like four or more terms. a trinomial is three terms and a binomial is two terms.


What is the coefficient of the first term of a polynomial that is written in standard form?

It would be the "A" value/term. Standard from is Ax+By=C.

Related Questions

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...


Multiply the two polynomials by distributing (x2 3x plus 2)(x plus 2)?

The idea here is to multiply each term in the first polynomial by each term in the second polynomial.


How do explain how to multiply polynomials?

You simply need to multiply EACH term in one polynomial by EACH term in the other polynomial, and add everything together.


How do you find the degree of polynomials?

First look at the degree of each term: this is the power of the variable. The highest such number, from all the terms in the polynomial is the degree of the polynomial. Thus x2 + 1/7*x + 3 has degree 2. x + 7 - 2x3 + 0.8x5 has degree 5.


How can you know that a term is polynomial?

A [single] term cannot be 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 the definition of degree of the polynomial?

The degree of a polynomial is the highest degree of its terms.The degree of a term is the sum of the exponents of the variables.7x3y2 + 15xy6 + 23x2y2The degree of the first term is 5.The degree of the second term is 7.The degree of the third term is 4.The degree of the polynomial is 7.


How can you find a degree in a polynomial?

The degree of a polynomial is the highest degree of its terms. The degree of a term is the sum of the exponents of the variables that appear in it.7x2y2 + 4x2 + 5y + 13 is a polynomial with four terms. The first term has a degree of 4, the second term has a degree of 2, the third term has a degree of 1 and the fourth term has a degree of 0. The polynomial has a degree of 4.


Degree of a terms of polynomial?

The degree of a polynomial is the highest degree of its terms. The degree of a term is the sum of the exponents of the variables that appear in it.For example, the polynomial 8x2y3 + 5x - 10 has three terms. The first term has a degree of 5, the second term has a degree of 1, and the last term has a degree of 0. Therefore, the polynomial is degree five.


What is (9x2 10x 4) (9x2 5x 1?

To multiply the polynomials ( (9x^2 + 10x + 4) ) and ( (9x^2 + 5x + 1) ), you can use the distributive property (also known as the FOIL method for binomials). Multiply each term in the first polynomial by each term in the second polynomial, then combine like terms. The resulting polynomial will be a degree 4 polynomial. For the full expansion, the result is ( 81x^4 + 85x^3 + 49x^2 + 20x + 4 ).


Do you use the distributive property with a monomial and a polynomial?

If you want to multiply the monomial by the polynomial, yes. In that case, you have to multiply the monomial by every term of the polynomial. For example: a (b + c + d) = ab + ac + ad More generally, when you multiply together two polynomials, you have to multiply each term in one polynomial by each term of the other polynomial; for example: (a + b)(c + d) = ac + ad + bc + bd All this can be derived from the distributive property (just apply the distributive property repeatedly).


What is the polynomial of 2 x?

this term 2x is not a polynomial. this term is a monomial. since only one term was listed it can not be a polynomial. A polynomial is like four or more terms. a trinomial is three terms and a binomial is two terms.