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how do u factor (x^3)-8?

source : yahoo.com

how do u factor (x^3)-8?

There is a “formula”.

a^3 – b^3 = ( a – b ) ( a^2 + ab + b^2 ).

You can multiply out the Right hand side expression and you will see that it “reduces” to the left hand side expression.

In your question, just set a = x and b = 2. Indeed,

x^3 – 8

= x^3 – 2^3

= ( x – 2 ) ( x^2 + 2x + 2^2 )

= ( x – 2 ) ( x^2 + 2x + 4 )

Done.

Hope this helped

🙂

P/S : if you really wanted to factorize ” ( x^2 + 2x + 4 ) ” there is a way… but NOT in integer coefficents. Indeed

( x^2 + 2x + 4 ) = ( x + 1 + sqrt(3) i )*( x + 1 – sqrt(3) i )

where i = sqrt ( -1 ) = a complex number.

This factorization is possible in the “complex domain”.

DOnt worry too much about it… Just wanted to spur your curiosity… 🙂

How to Factor Third Power Polynomials

How to Factor Third Power Polynomials – To learn how to factor these polynomials, begin by getting comfortable with three different factoring scenarios: sum of two cubes, difference of two cubes and trinomials. Then move on to more complicated equations, such as polynomials with four or more terms.We have to factorize x^3 + 8. We can rewrite this as x^3 + 2^3 { 2^3 = 8} Since we know that :- a^3 + b^3 = (a+b)(a^2+b^2-ab) Therefore; x^3 + 2^3 = (x+2)(x^2+2^2-2x) => x^3 + 2^3 = (x+2)(x^2 – 2x + 2^2) => x^3 + 2^3 = (x+2)(x^2 – 2x + 4) Therefor…How do you factor $x^3 – 8 = 0$? Ask Question. Asked 7 years, 1 month ago. First of all, just a comment about the terminology. You can factor a polynomial, you can't factor an equation.

How to factor (x^3 + 8) – Quora – How to expand and factor the difference of cubes, formula and example. Justification via 3 different methods. Show that $$(x – 3)(x^2 + 3x + 9)$$ matches the correct pattern for the formula. Since we want to factor $$x^3 – 27$$ , we first identify $$a$$ and $$b$$.How does knowing that 7 is a factor of 1001 help you to get another factor of 1001? What is the smallest possible slope for a tangent to y=x^3 – 3x^2 + 5x? (I'm unsure how to approach this problem, if you know how to solve it, please explain step by step.How do you factor x3 − 8? x3 −8 is the difference of two cubes and can be factored in the following pattern. If playback doesn't begin shortly, try restarting your device. Full screen is unavailable. Learn More Videos you watch may be added to the TV's watch history and influence TV recommendations.

How to factor (x^3 + 8) - Quora

algebra precalculus – How do you factor $x^3 – 8 = 0$? – Mathematics… – Example 1 Factor x2 + 7x + 12. Solution We look for two integers whose product is 12 and whose sum is we can view a binomial such as 9×2 – 4 as (3x)2 – 22 and use the above method to factor. How many quarts of a 20% solution of acid should be added to 10 quarts of a 30% solution of acid to obtain…The Basics: How to Factor Quadratics. In this tutorial, I show you the very basics of factoring a quadratic . You will learn how to choose your factors and check your solution. It's important to note that in these examples, I'm not working with the full equation (notice there are no equal signs).How do we find 6 and 1? It helps to list the factors of ac= 6 , and then try adding some to get b= 7 . Factoring – Introduction Quadratic Equations Completing the Square Graphing Quadratic Equations Real World Examples of Quadratic Equations Derivation of Quadratic Equation Quadratic Equation…

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