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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
Division of Monomials and Polynomials by Monomials?
to multiplya polynomial by a monomial,use the distributive property and then combine like terms.
Why can't a polynomial be factored?
It can, so the question does not make sense.
How do you factor a polynomial using distributive property when it has 5 terms?
Factoring a polynomial with 5 or more terms is very hard and in general impossible using only algebraic numbers. The best strategy here is to guess some 'obvious' solutions and reduce to a fourth or lower order polynomial.
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.
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!
A polynomial that can be factored is called?
It is still called a polynomial.
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.
