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Q: How does the distributive property get factored into a polynomial?
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What property is used to multiply a term into a polynomial?

Distributive Property


What property is used when finding the product of a monomial and a polynomial?

Distributive


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).


How do you know if a polynomial is in factored form?

You can't know if a general polynomial is in factored form.


Division of Monomials and Polynomials by Monomials?

to multiplya polynomial by a monomial,use the distributive property and then combine like terms.


A polynomial that can be factored is called?

It is still called a polynomial.


What is a simplified polynomial?

a simplified polynomial is a algebraic equation/expression with variables and constants that can can be written as a sum of terms. Simplified form is the opposite of factored form P(x) = ( 2x - 3)( x+4 ) Is a factored form - product of 2 factors. Simplify P(x) by using the distributive property: P(x) = 2x2 +8x - 3x -12 P(x) = 2x2 + 5x - 12 simplified : a sum of terms!


What two properties are commonly used when multiplying a monomial by a polynomial?

Distributive property of multiplication over addition, Commutativity of addition.


A polynomial that can not be factored is called?

If a number cannot be factored it is a prime number.


Use the greatest common factor and the distributive property to write equivalent expressions in factored form. 13ab + 15ab?

28ab


What is the polynomial when each of its factors is prime?

Completely Factored


What is the distributive property for 46 and 69?

The distributive property is a characteristic that two mathematical operators may have. Numbers do not have a distributive property.