## Thursday, 16 August 2012

### How do you Determine if a Polynomial is the Difference of Two Squares

Hi friends, we will discuss How do you Determine if a Polynomial is the Difference of Two Squares. Polynomials are expressions in such a way that it consist of variables with exponents and constants values. Exponent values present in a polynomial expression is of any degree. Generally these Polynomials expression are used in Trigonometry, calculus, algebra and so on. There is a rule defined in polynomials so that polynomial contain constant, variables, exponents and operations but they cannot have any type of division operator in expression. Polynomial expression don’t have Radicals, infinite number or any type of negative exponent. Now now we will understand that How do you Determine if a Polynomial is the Difference of Two Squares.

Now we will use some step to solve polynomial:
Step 1: To find polynomial first we need to solve the given expression. For example: suppose that we have given a polynomial expression 2p2 + 2p2 - 10 – 6. Now we have to solve it as 4p2 – 16.
Step 2: Then test the Integer value present in equation. The integer value present in equation is a perfect Square. In the equation integer value is 16 that is a perfect square. If we want to write it in terms of exponent then we can also write. It can be written in exponent form as 42.
Step 3: Now we will see again the equation and also check that if it is make a difference of two perfect square number that this equation is denotes a subtraction of two perfect square terms. Now we have to set above equation in format of subtraction of two square terms that is p2 – q2.

Step 4: Now we have to find the factor of this equation by using the difference of two square formula that is (p + q) (p - q). Then we get the equation 4p2 – 16 that is written in factorized form as (2p + 4) (2p - 4).

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