x 2 4x 1 factored

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x 2 4x 1 factored To factor a monomial write it as the product of its factors and then divide each term by any common factors to obtain the fully factored form To factor a binomial write it as the sum or difference of two squares or as the difference of two cubes To factor a trinomial x 2 bx c find two numbers u v that multiply to give c and add to b

Free math problem solver answers your algebra geometry trigonometry calculus and statistics homework questions with step by step explanations just like a math tutor Quadratic polynomial can be factored using the transformation ax 2 bx c a left x x 1 right left x x 2 right where x 1 and x 2 are the solutions of the quadratic equation ax 2 bx c 0 x frac left 4 right sqrt left 4 right 2 4 left 1 right 2

x 2 4x 1 factored

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x 2 4x 1 factored
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Free Factoring Solver helps you factor expand or simplify polynomials Find greatest common divisors roots partial fraction decompositions Answers graphs additional properties Shows you step by step how to factor expressions This calculator will solve your problems

Factor x x out of x x x 4 x x x 4 Free math problem solver answers your algebra geometry trigonometry calculus and statistics homework questions with step by step explanations just like a math tutor 1 x2 was replaced by x 2 The first term is x2 its coefficient is 1 The middle term is 4x its coefficient is 4 Step 2 Find two factors of 1 whose sum equals the coefficient of the middle term which is 4 Observation No two such factors can be found x2 4x 1

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Consider x 2 4 x 1 Quadratic formula x b b 2 4 a c 2 a Here a 1 b 4 c 1 Substitute the given values in the formula x 4 16 4 2 x 4 12 2 x 4 2 3 2 x 2 3 Therefore x 2 4 x 1 x 2 3 x 2 3 The factorized expression is x 2 4 x Quadratic polynomial can be factored using the transformation ax 2 bx c a left x x 1 right left x x 2 right where x 1 and x 2 are the solutions of the quadratic equation ax 2 bx c 0

Check that the middle term is two times the product of the numbers being squared in the first term and third term 4x 2 2x 1 4 x 2 2 x 1 Rewrite the polynomial 2x 2 2 2x 1 12 2 x 2 2 2 x 1 1 2 Free factoring calculator Factor quadratic equations step by step

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