can x squared minus 1 be factored Factor x 2 1 x2 1 x 2 1 Rewrite 1 1 as 12 1 2 x2 12 x 2 1 2 Since both terms are perfect squares factor using the difference of squares formula a2 b2 a b a b a 2 b 2 a b a b where a x a x and b 1 b 1
Best Answer x2 1 x 1 x 1 This comes from a formula that is called The Difference of Squares The formula says that when you are subtracting two square numbers from each other To factor a binomial write it as the sum or difference of two squares or as the difference of two cubes How do you factor a trinomial To factor a trinomial x 2 bx c find two numbers u v that multiply to give c and add to b
can x squared minus 1 be factored
can x squared minus 1 be factored
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On this page we will show you how to factor x squared minus 1 x 2 1 using the difference of squares formula In addition to factoring x 2 1 we will also verify that our answer is correct by calculating the product of the factors we found Wolfram Alpha is a great tool for factoring expanding or simplifying polynomials It also multiplies divides and finds the greatest common divisors of pairs of polynomials determines values of polynomial roots plots polynomials finds partial fraction decompositions and more Learn more about Factoring
Best Answer x2 1 x 1 x 1 It factors out like this because it s the difference of two squares It only works with subtraction and is always in the format with two groups of Let us expand x 4 and x 1 to be sure x 4 x 1 x x 1 4 x 1 x2 x 4x 4 x2 3x 4 Yes x 4 and x 1 are definitely factors of x2 3x 4 Did you see that Expanding and Factoring are opposites Expanding is usually easy but Factoring can often be tricky It is like trying to find which ingredients
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Demonstrates how to use the formula for finding the differences of squares and warns against trying to factor a sum of squares Free online factoring calculator that factors an algebraic expression Enter a polynomial or even just a number to see its factors Signup for detailed step by step solutions
Students often overlook the fact that 1 is a perfect square Thus an expression such as x 2 1 is the difference of two perfect squares and can be factored by this method For example 3 x 4 is prime since 3 and 4 have only 1 as common factors while 4 x 6 is not prime since 2 is a common factor of 4 and 6 In fact 4 x 6 2 2 x 3 Using long division we can determine if a given polynomial is a factor of another polynomial
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can x squared minus 1 be factored - Factoring completely is a three step process Factor a GCF from the expression if possible Factor a Trinomial if possible Factor a Difference Between Two Squares as many times as possible First Example Let s see how this applies to our initial example x 4 1 Step 1 Step one is to factor a GCF