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Division of Monomials and Polynomials by Monomials?
to multiplya polynomial by a monomial,use the distributive property and then combine like terms.
How do you factorise 5a minus 20?
You look for a common factor between the two terms, take it out, and use the distributive property.
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 the first step when factoring a polynomial consisting of four terms?
The first step in factoring a polynomial with four terms is to look for a common factor among the terms. If no common factor exists, you can try grouping the terms into two pairs and factor each pair separately. This often reveals a common binomial factor that can be factored out, simplifying the polynomial further.
What is the distributive property in mathematical terms?
a(b + c) = ab + ac
Division of Monomials and Polynomials by Monomials?
to multiplya polynomial by a monomial,use the distributive property and then combine like terms.
How do you factorise 5a minus 20?
You look for a common factor between the two terms, take it out, and use the distributive property.
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 the first step when factoring a polynomial consisting of four terms?
The first step in factoring a polynomial with four terms is to look for a common factor among the terms. If no common factor exists, you can try grouping the terms into two pairs and factor each pair separately. This often reveals a common binomial factor that can be factored out, simplifying the polynomial further.
What is the distributive property in mathematical terms?
a(b + c) = ab + ac
What is the distributive property of 24 plus 40?
The distributive property states that when you multiply a number by a sum, you can distribute the multiplication across the terms of the sum. For example, to apply the distributive property to the expression 24 + 40, you might express it as 24 + 40 = 24 + (30 + 10) = (24 + 30) + 10. However, in this case, the distributive property isn't directly applicable since there is no multiplication involved. If you wanted to use the property, you would need to introduce a multiplication factor, such as expressing 2(24 + 40).
How does the distributive property allow you to combine the terms 10h and 14h?
You do not need the distributive property for to do that!
Polynomial as the product of one monomial factor and prime factors with at least two terms?
Factor
How is 86 used in the distributive property?
In the distributive property, 86 can be used as a constant multiplier to distribute across a sum or difference of two or more terms. For example, if you have the expression 86(x + y), you would distribute the 86 across both the x and y terms within the parentheses to get 86x + 86y. This demonstrates how the distributive property allows you to simplify expressions by distributing a constant across terms within parentheses.
How can you write equivalent expressions with Greatest common factor and the distributive property?
Suppose x and y are two terms with GCF k where the assumption (in this context) is that k is greater than 1. That implies that x = pk and y = qk where p and q are coprime terms. Then x + y = pk + qk and, using the distributive property, this is k*(p + q).
Find the common factor of all the terms of the polynomial 2x plus 4?
The common factor is 2.
What is the common factor of all the terms of the polynomial 15x2-12x?
The GCF is 3x.
