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# Factor/factorization (trinomial, polynomial, binom

## Saturday, 6 April 2013

### affordable wedding invitation card

## Thursday, 20 September 2012

### polynomial factoring

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Polynomials can be factored using either the synthetic division technique or mid – term splitting (in case of quadratic polynomials). If the quadratic polynomials are possible to be factored, their middle term is split and we get the roots. The other way is to use the formula directly to get two roots. Let us consider some examples to know how

**polynomial factoring**is done:

Example 1: Factorize the polynomial 5 x

^{2}+ 8 x + 3 = 0?

Solution: The given polynomial is of degree two and so number of roots it would possess will be 2. As it is possible to split the middle term of this polynomial, we do it as follows:

5x

^{2}+ 8 x + 3 = 0,

Or 5 x

^{2}+ 5 x + 3 x + 3 = 0,

Or 5 x (x + 1) + 3 (x + 1) = 0,

Or x = -1, -3 /5.

Example 2: Suppose we need to find the highest common factor between x

^{3}+ 2x

^{2}+ 8 and x

^{2}+ x + 4?

Solution: In such a case we use the synthetic division technique as follows:

x

^{3}+ 2 x

^{2}+ 8 / x

^{2}+ x + 4; Remainder = x

^{2}+ 4,

x

^{2}+ x + 4 / x

^{2}+ 4; Remainder = x,

x

^{2}+ 4 /x; Remainder = 4,

We see 4 is the common factor between two polynomials x

^{3}+ 2 x

^{2}+ 8 and x

^{2}+ x + 4.

The

**likelihood ratio test**is an approach to match probability of occurrence of a certain value under one theory against the probability of the same value under another theory. The 2nd one is the more limited theory.

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## Tuesday, 28 August 2012

### factor polynomials

**factor polynomials**and write them as the product of different expressions. There are different methods to find the factor of the given polynomials.

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## 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 2p^{2} + 2p^{2} - 10 – 6. Now we have to solve it as 4p^{2} – 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 4^{2}.

**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 p^{2} – q^{2}.

**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 4p^{2} – 16 that is written in factorized form as (2p + 4) (2p - 4).

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## Tuesday, 14 August 2012

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

**How do you Determine if a Polynomial is the Difference of Two Squares**. First it is necessary to learn about definition of polynomial. Polynomial can be defined as any types of expression that can be written using constant, variable and exponent values in it. For example: 4ab

^{2}+ 7xy

^{2}– 4x – 25. Given example is a polynomial expression. Now we will understand that How do you Determine if a Polynomial is the Difference of Two Squares. Steps to follow to determine polynomial differences are shown below: (know more about Polynomial, here)

**Step 1:**The word difference means subtraction. It means subtract one value to other value. For example: The difference of 9 and 3 is given as 3, in mathematical it can be written as: 9 – 6 = 3.

**Step 2:**If we want to calculate if a polynomial is the difference we need to subtract one polynomial value other polynomial value.

**Step 3:**Then we have to check the answer that it matches a given polynomial or not.

**Step 4:**To satisfy the above statement, the given polynomial can be ready to be factorized into two different factors. For example we have an polynomial expression: p

^{2}– q

^{2}. As we see this, it is an difference of polynomial two squares. If we find the factor of given example then it can be written as:

^{2}– q

^{2}, on finding it factor we get:

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## Wednesday, 8 August 2012

### Factoring Polynomials Calculator

**Factoring Polynomials Calculator**. If in any equation constant value, variables and exponent values are present then it is polynomial expression. For example: 3xy

^{2}– 6x + 2y

^{3}– 20. As we see in given expression that polynomial expression is joined with mathematical operators. In mathematics, Negative and fraction values are also present in case of polynomial expression. It never joined by division operator.

**Step 1:**Put polynomial expression in first text box.

**Step 2:**Or enter coefficient of square, cube in one text box and coefficient of ‘x’ in next text box and constant in last text box.

**Step 3:**Then press solve button to get result.

^{2}+ 4u – 10, we can factorize this polynomial as shown below:

^{2}- 4ac) / 2a, here value of 'a' is 1, value of 'b' is ‘4’ and value of 'c' is ‘-10’. So put these values in formula. (know more about Polynomials , here)

^{2}- 4(1) (-10)] / 2(1),

**Square Root Property**is one of the best method that is used to solve solutions to a quadratic equation. To get more information about square root property then follow icse syllabus 2013.

## Monday, 6 August 2012

### polynomial factoring calculator

^{2}– 3x + 7y

^{3}– 20. In mathematics, Polynomial expression can also have negative and fraction values. It cannot be joined by division operator.

**Polynomial factoring calculator**is a mathematical tool that help us to solve hard problem very easily. Those are unknown about polynomial factor can also find the factor of polynomial. Let’s understand some steps to find the factor of polynomial expression.

**Step 1:**First enter the polynomial expression in the text box.

**Step 2:**In other word put the coefficient of square, cube in one text box and coefficient of ‘x’ in other text box and the constant in last text box.

**Step 3:**Then enter the solve button to get the result.

^{2}+ u – 4, we can factorize this polynomial as mention below:

__+__√ (b

^{2}- 4ac) / 2a, here value of 'a' is given as 1, value of 'b' is given as ‘1’ and value of 'c' is given as ‘-4’. So put these values in formula.

__+__√ [(1)

^{2}- 4(1) (-4)] / 2(1),

__+__√ (1 + 16) / 2,

__+__√ (17) / 2. So, here we get two factor of this expression, one positive and other negative.

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