factorize polynomials

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Guide :

# factorize polynomials

(x+1)(x+3)(x+5)(x+7)+16

## Research, Knowledge and Information :

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### Polynomial Factoring Calculator with explanation

This online calculator writes a polynomial as a product of linear factors and creates a graph of the given polynomial. The detailed explanation is provided.

### Algebra - Factoring Polynomials

Factoring polynomials is done in pretty much the same manner. We determine all the terms that were multiplied together to get the given polynomial.

### Factorization of polynomials - Wikipedia

In mathematics and computer algebra, factorization of polynomials or polynomial factorization is the process of expressing a polynomial with coefficients in a given ...

### Wolfram|Alpha Widget: Factoring Polynomials Calculator

Factoring Polynomials Calculator. Enter the polynomial expression: FACTOR: Computing... Get this widget. Build your own widget ...

### Simple Polynomial Factoring - Purplemath | Home

Factoring polynomial expressions is not quite the same as factoring numbers, but the concept is very similar. When factoring numbers or factoring ...

### Factoring Polynomials - James Brennan

Factoring Polynomials. Factoring a polynomial is the opposite process of multiplying polynomials. Recall that when we factor a number, we are looking for prime ...

### Polynomial factorization | Algebra I | Math | Khan Academy

Polynomial factorization. Overview. Practice. Contents. About. ... Learn how to factor quadratic polynomials of the form ax^2+bx+c as the product of two linear binomials.

### Factoring Polynomials - UUMath

Factoring Polynomials Any natural number that is greater than 1 can be factored into a product of prime numbers. For example 20 = (2)(2)(5) and 30 = (2)(3)(5).

### Factor polynomials: common factor (practice) | Khan Academy

Practice finding the greatest common factors of polynomials and factoring them out of the polynomials.

### How to Factor Polynomials Easily

How to Factor Polynomials . Learning how to factor polynomials does not have to be difficult. Grade A will break down the steps for you, show you simple examples with ...

## Suggested Questions And Answer :

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### How do special products help us factor polynomials? Give examples.

The special products that students are usually asked to identify and remember to help in factorisation are the squares and difference of squares: (a+b)^2=a^2+2ab+b^2; (a-b)^2=(b-a)^2=a^2-2ab+b^2; (a-b)(a+b)=a^2-b^2. a and b can be composite quantities like 3x, xy, 2xyz, etc. Examples: (3xy-z)^2=9x^2

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### find a polynomial f(x) of degree 7 such that -2 and 2 are zeros of multiplicity 2, 0 is multiplicity 3 and f(-1)=27?

find a polynomial f(x) of degree 7 such that -2 and 2 are zeros of multiplicity 2, 0 is multiplicity 3 and f(-1)=27? If you have a polynomial of 7th degree, then there are 7 roots, r1, r2, ... That means there are 7 factors to the equation of the form (x – r1), (x – r2), ... The polyno

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### How to find the factors of a 7th degree polynomial

If there are only positive coefficients, the zeroes (from which factors can be deduced) will all be negative. For mixed positive and negative coefficients, usually there are some simple zeroes like 1 and -1 that can be substituted for the variable that give a zero result. The size of the coefficient

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### Factoring polynomials with 2 variables

Factoring 30x²+11xy-30y² is not much different than factoring 30x²+11x-30.  For 30x²+11x-30, here's a non-traditional approach that might help.  Form the equation  30x²+11x-30=0 , and use the quadratic formula (perhaps skip ahead a few sections in your text book to find it). &nb

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### factor completely: 98x^3-18x

Solution:Given 98x^3-18x take 2x common =>2x(49x²-9) =>2x((7x)²-3²) =>2x(7x-3)(7x+3)" Factor Polynomials Factoring Polynomials Calculator is an online tool to find the factors of a polynomial. It makes calculation easy and fun. If any polynomial in the form of Ax^2 + Bx

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### how do i factor x^5+2x^4-54x^3-8x^2+725x-1050

The way I start is to see if I can spot an easy factor like x=1 or 2, because the polynomial can be simplified if you can. The way you do this is find out what value of x makes the expression zero. x=1 gives you a result -384. So that's way out. Try x=2. It gives zero! Great! Can we find any more by

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### write a polynomial function in standard for with the given zeros x=-1,3,4

What this means, I believe, is that the function has zero value when the variable x is -1, 3 or 4. The polynomial must therefore contain the factors (x+1), (x-3) and (x-4). To find the function, f(x), we multiply these factors together. First multiply the first two factors to give x^2-2x-3, then mul

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### find all zeros of P(x) = x^5 + 9x^3 + 8x^2 + 72

Factor Theorem If r is a zero of the polynomial P(x), then x  r is a factor of P(x). Conversely, if x  r is a factor of P(x), then r is a zero of P(x). The relationship between zeros, roots, factors, and x intercepts is fundamental to the study of polynomials. With the addition of the factor theor

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### factor the polynomial a^4 b + a^2 b^2

Question: factor the polynomial a^4 b + a^2 b^2 The polynomial is:a^4.b + a^2.b^2   -- take out a common factor of a^2 to give a^2(a^2.b + b^2)   -- now we see that we can still take out another common factor, of b. This gives us a^2.b(a^2 + b)   -- this is th

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### How do we find the greatest common factor of a polynomial?

umm here is an example: 5x^3 - 20x^ 2 - 25x first you find something that can go into all of them, i chose this one because you can clearly see 5 is the higest thing that can go into all of them, not just 5 but what can you take out of all of them equally? 5x 5x ( x^2 - 4x - 5) now you factor it

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