Question 1014520: Good morning, can some one please tell me what the difference is between factoring an equation and factoring a polynomial expression.
Thanks.
Found 4 solutions by rothauserc, Alan3354, addingup, Theo:
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! Begin with the definitions
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A polynomial expression consists of variables and coefficients, using the operations of addition, subtraction, multiplication, and non-negative integer exponents. For example, x^2 + 2x + 1 and x^3 +4xyz^2 +yz + 5 are both polynomial expressions, note that x^(1/3) + 2xy +y^(1/2) and x^2 / (x^3 +1) are not polynomial expressions.
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A function is a relation between two sets such that an element of the second set is assigned to each element of the first set, for example, y = x and y = 1/(2x-1) are both functions,
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we factor polynomial expressions by using the Greatest Common Factor(GCF) method
we factor functions by setting the expression = 0 and then solve for zeros ( we can use the rational roots theorem and synthetic division to test potential roots)
Answer by Alan3354(69443)  (Show Source):
You can put this solution on YOUR website! can some one please tell me what the difference is between factoring an equation and factoring a polynomial expression.
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Equations are solved. Sometimes factoring can be used to solve them.
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Polynomials are factored if possible, for various reasons.
Answer by addingup(3677)  (Show Source):
You can put this solution on YOUR website! factoring is the act of finding the numbers or expressions that multiply together to make a given number or equation.
In the case of a polynomial, factoring is the breaking apart of a polynomial into a product of other smaller polynomials.
You have multiple factoring options to choose from when solving polynomial equations:
- For a polynomial, no matter how many terms it has, always check for a greatest common factor (GCF) first. Using the GCF is like doing the distributive property backward.
- If the equation is a trinomial — it has three terms — you can use the FOIL method for multiplying binomials backward.
- If it’s a binomial, look for difference of squares, difference of cubes, or sum of cubes.
Finally, after the polynomial is fully factored, you can use the zero product property to solve the equation.
For more information I would suggest you crack your math book, you'll be surprised to see how much information is between the front and back covers.
Answer by Theo(13342)  (Show Source):
You can put this solution on YOUR website! a polynomial equation is in the form of y = a polynomial expression.
it can also be in the form of f(x) = a polynomial expression.
when you factor the equation, you are factoring the polynomial expression.
for example:
factor the equation of y = x^2 + x - 2
when you factor this equation, you are factoring the expression on the right side of this equation.
you will get y = (x+2) * (x-1)
the equation is said to have been factored.
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