can x 4 1 be factored

can x 4 1 be factored X 2 x msquare log msquare sqrt square nthroot msquare square le ge frac msquare msquare cdot div x circ pi left square right frac d dx frac partial partial x int int msquare msquare lim sum infty theta f circ g f x

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 How do you factor x4 1 Algebra Polynomials and Factoring Factor Polynomials Using Special Products 2 Answers sjc Apr 18 2018 x4 1 x2 1 x 1 x 1 using complex numbers x4 1 x ib x ib x 1 x 1 Explanation we make use of the difference of squares a2 b2 a b a b x4 1 x2 1 x2 1

can x 4 1 be factored

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can x 4 1 be factored
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Factor x 4 1 Compute answers using Wolfram s breakthrough technology knowledgebase relied on by millions of students professionals For math science nutrition history geography engineering mathematics linguistics sports finance music I want to do partial fraction expansion on frac 1 x 4 1 But how to I factor the denominator so that I get a product of two factors

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 We already found that 4 x 2 4 x 1 can be factored as 2 x 1 2 Therefore we can solve the equation as follows

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Math Input Extended Keyboard Examples Upload Have a question about using Wolfram Alpha Give us your feedback Compute answers using Wolfram s breakthrough technology knowledgebase relied on by millions of students professionals Multiply together to get 4 Since 1 and 4 add up to 5 and multiply together to get 4 we can factor it like x 1 x 4

x 4 1 has no linear factors and if it has no linear factors then it can only be factored into polynomials of degree 2 and for there to be no term a 1x 1 the factor must be of the form a 2x 2 a 0 and this The first term is a perfect square since 4 x 2 2 x 2 and the last term is a perfect square since 9 3 2 Also the middle term is twice the product of the numbers that are squared since 12 x 2 2 x 3 We can use the perfect square trinomial pattern to

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can x 4 1 be factored - 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