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BEDMAS = brackets, exponents, division, multiplication, adding, subtracting

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FOIL = first, outside, inside, last

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Simplify this polynomial 5x plus 6y plus 3y - 2x?

3(x+y)


When this polynomial is simplified what is the coefficient of x2?

To determine the coefficient of ( x^2 ) in a polynomial, you need to simplify the polynomial by combining like terms. Look for all terms that contain ( x^2 ) and sum their coefficients. If you provide the specific polynomial, I can help you find the coefficient of ( x^2 ).


What is the quotient in polynomial form?

The quotient in polynomial form refers to the result obtained when one polynomial is divided by another polynomial using polynomial long division or synthetic division. It expresses the division result as a polynomial, which may include a remainder expressed as a fraction of the divisor. The quotient can help simplify expressions and solve polynomial equations. For example, dividing (x^3 + 2x^2 + x + 1) by (x + 1) yields a quotient of (x^2 + x) with a remainder.


How does the distributive property get factored into a polynomial?

The distributive property allows us to simplify expressions by distributing a term across a sum or difference. When factoring a polynomial, we can reverse this process by identifying common factors in each term of the polynomial. For example, in the expression ( ax + ay ), we can factor out ( a ) to get ( a(x + y) ). This reveals the common factor and simplifies the polynomial into a product of its factors.


Explain how you multiply two polynomials?

To multiply two polynomials, you apply the distributive property, also known as the FOIL method for binomials. Each term in the first polynomial is multiplied by each term in the second polynomial. After performing all the multiplications, you combine like terms to simplify the resulting polynomial. Finally, ensure that the polynomial is written in standard form, with terms ordered by decreasing degree.

Related Questions

Simplify this polynomial 5x plus 6y plus 3y - 2x?

3(x+y)


Why is it important to simplify radical expressions before subtracting or adding and how is adding a radical expression similar to adding a polynomial expression and provide an example?

Why is it important to simplify radical expressions before adding or subtracting? How is adding radical expressions similar to adding polynomial expressions? How is it different? Provide a radical expression for your classmates to simplify..


When this polynomial is simplified what is the coefficient of x2?

To determine the coefficient of ( x^2 ) in a polynomial, you need to simplify the polynomial by combining like terms. Look for all terms that contain ( x^2 ) and sum their coefficients. If you provide the specific polynomial, I can help you find the coefficient of ( x^2 ).


What is the quotient in polynomial form?

The quotient in polynomial form refers to the result obtained when one polynomial is divided by another polynomial using polynomial long division or synthetic division. It expresses the division result as a polynomial, which may include a remainder expressed as a fraction of the divisor. The quotient can help simplify expressions and solve polynomial equations. For example, dividing (x^3 + 2x^2 + x + 1) by (x + 1) yields a quotient of (x^2 + x) with a remainder.


How does the distributive property get factored into a polynomial?

The distributive property allows us to simplify expressions by distributing a term across a sum or difference. When factoring a polynomial, we can reverse this process by identifying common factors in each term of the polynomial. For example, in the expression ( ax + ay ), we can factor out ( a ) to get ( a(x + y) ). This reveals the common factor and simplifies the polynomial into a product of its factors.


Explain how you multiply two polynomials?

To multiply two polynomials, you apply the distributive property, also known as the FOIL method for binomials. Each term in the first polynomial is multiplied by each term in the second polynomial. After performing all the multiplications, you combine like terms to simplify the resulting polynomial. Finally, ensure that the polynomial is written in standard form, with terms ordered by decreasing degree.


What is a polynomial identity?

A polynomial identity is an equation that holds true for all values of the variables involved, typically expressed as a polynomial equation. For example, the identity ( (a + b)^2 = a^2 + 2ab + b^2 ) is valid for any real or complex numbers ( a ) and ( b ). These identities are often used in algebra to simplify expressions or prove other mathematical statements. They contrast with polynomial equations, which may only hold true for specific values of the variables.


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 do you answer polynomial?

You can evaluate a polynomial, you can factorise a polynomial, you can solve a polynomial equation. But a polynomial is not a specific question so it cannot be answered.


Is matrix polynomial and polynomial matrix same?

No. A matrix polynomial is an algebraic expression in which the variable is a matrix. A polynomial matrix is a matrix in which each element is a polynomial.


What is the difference between polynomial and non polynomial time complexity?

Polynomial vs non polynomial time complexity


Is a log of a polynomial still a polynomial?

No.