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Suppose you have the expression x2 + 7x + 12. You look for two numbers that add to 7 and multiply to make 12. They are 3 and 4. You put these numbers into the factors as follows: (x+3)(x+4).
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Here is a harder example. x2 - 5x - 36. The numbers have to multiply to make -36, so one must be negative and the other positive. Since they add to -5, the big number must be negative. If you're stuck, make a list of the pairs of factors of 36: 1x36, 2x18, 3x12, 4x9, 6x6. The numbers we are looking for are 4 and -9, and the factors are (x+4)(x-9).
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These two examples are 'easy' trinomials, since they have no number in front of the x2. 'Hard' trinomials do have a number there. For example, 3x2 - 19x -14. There are several ways of doing this, but it is basically organized trial and error. The factors are (3x+2)(x-7).
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How do you common factor an expression?
Find a number that evenly divides each term of the expression.
When factorising find the common factor?
To find the common factor when factorising, look for any common factors that can be divided evenly from all the terms in the expression. Divide each term by this common factor, and then factorise the resulting expression further if possible. This will help simplify the expression and make it easier to work with.
How do you factor 81r plus 48rt?
To factor the expression 81r + 48rt, we first find the greatest common factor of the two terms, which is 3r. We then factor out this common factor to get 3r(27 + 16t). This is the factored form of the expression 81r + 48rt.
How do you find the value of each expression in lowest terms?
For each expression, divide the numerator and denominator by their greatest common factor.
What does factor each algebraic expression mean?
For each of a list of algebraic expressions, find one or more common factors and factorise the expression.
Is 9v a factor?
Nothing is a factor BY ITSELF; you can say that one expression is a factor OF ANOTHER EXPRESSION. IF you don't specify the other expression, the question is meaningless.
Which part of the expression is a factor 12 plus 5( and minus3n and minus8)?
There is no factor of the expression in the question.
A number or an algebraic expression that is a factor of two or more numbers of algebraic expression is what?
a common factor
If the common factor is divided out of the original expression the reduced expression will be equal to the original expression only when?
the common factor is 1.
What is an expression called that cannot be factored?
If an expression does not have a common factor, then it is called a "prime" expression.
What is the expression in lowest terms?
An expression is in its lowest terms if the greatest common factor of the numerator and denominator is one.An expression is in its lowest terms if the greatest common factor of the numerator and denominator is one.An expression is in its lowest terms if the greatest common factor of the numerator and denominator is one.An expression is in its lowest terms if the greatest common factor of the numerator and denominator is one.
What is an Algebraic expression with a factor of 5?
It is 5*f where f is an expression.
