You should upgrade or use an alternative browser. What are the differences between the terms simplify , solve and factorize? Thread starter rosekidcute Start date Sep 3, Joined Jan 25, Messages Are there any more terms like this i should be aware of when trying to learn some basic algebra?
Last edited by a moderator: Sep 6, Joined Mar 25, Messages 1, The terms "simplify," "factorize," and "solve" do mean similar things, but the distinctions between them are important. For one thing, you can only "simplify" or "factorize" an expression , but you can only "solve" an equation. Thus, the distinction between "expression" and "equation" becomes important as well. The "rules" for what counts as an expression are very loose.
We substitute 1, 2, 4, and 9 for in the polynomial to identify the factor. Only makes the polynomial equal to 0, so among the choices, only is a factor. We try to factor the second by noting that it is "quadratic-style" based on. We want a pair of integers whose product is 1 and whose sum is. These integers do not exist, so is a prime. Which of the following is a factor of the polynomial. We substitute and for in the polynomial to identify the factor.
Only makes the polynomial equal to 0, so of the four choices, only is a factor of the polynomial. If you've found an issue with this question, please let us know. With the help of the community we can continue to improve our educational resources. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.
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However, not everyone can tell the difference between them. Most people would simply say that both terms have something to do with removing or adding parentheses in an algebraic equation. In order to know the difference between the two terms, let us utilize the two equations. The first equation would be expanded, while the second would be factored out. How does one expand the equation: 2 3c-2? First, take note of the parentheses present in the equation.
Expanding the equation means removing the parentheses. In order to derive a parentheses-free equation, one simply multiplies the value outside the value, which is 2, to each of the values inside the parentheses. This means that 2 is multiplied to 3c, and 2 is also multiplied to The resulting equation would be 6c Since the equation has no more parentheses, it is said to be completely expanded.
But the idea is to perform indicated operations if possible, combine like terms, etc.. A fully expanded expression would probably be considered more simplified than a fully factored one.
In some contexts, simplifying and factoring are in opposition to one another. If there is insufficient context, it can't be understood. Add a comment. Active Oldest Votes. Ross Millikan Ross Millikan k 26 26 gold badges silver badges bronze badges. Sign up or log in Sign up using Google. Sign up using Facebook. Sign up using Email and Password. Post as a guest Name.
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