roots of x 4 13x 2 36 0

roots of x 4 13x 2 36 0 To find the roots factor the function set each facotor to zero and solve The solutions are the roots of the function A root is a value for which the function equals zero The roots are the

Factor u2 13u 36 u 2 13 u 36 using the AC method Tap for more steps Replace all occurrences of u u with x2 x 2 If any individual factor on the left side of the equation is equal Divide x 4 13x 2 36 by x 2 to get x 3 2x 2 9x 18 To factor the result solve the equation where it equals to 0 By Rational Root Theorem all rational roots of a polynomial

roots of x 4 13x 2 36 0

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roots of x 4 13x 2 36 0
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All equations of the form ax 2 bx c 0 can be solved using the quadratic formula frac b sqrt b 2 4ac 2a Substitute 1 for a 13 for b and 36 for c in the quadratic formula Solve the Use rational root test to find out that the x 2 is a root of polynomial x4 13x2 36 The Rational Root Theorem tells us that if the polynomial has a rational zero then it must be a fraction qp

Enter a problem Set x4 13x2 36 x 4 13 x 2 36 equal to 0 0 Solve for x x Tap for more steps Pull terms out from under the radical assuming positive real numbers Free math Use rational root test to find out that the x 2 is a root of polynomial x4 13x2 36 The Rational Root Theorem tells us that if the polynomial has a rational zero then it must be a fraction qp

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We can factor the polynomial x 4 13x 2 36 using the rational root theorem which guarantees that for a polynomial of the form a nx n a n 1 x n 1 dots a 0 there is a How do you factor the expression x4 13x2 36 x4 13x2 36 x 3 x 3 x 2 x 2 We will use the difference of squares identity which can be written a2 b2 a b a

Divide x 4 13x 2 36 by x 2 to get x 3 2x 2 9x 18 To factor the result solve the equation where it equals to 0 By Rational Root Theorem all rational roots of a polynomial are Just like numbers have factors 2 3 6 expressions have factors x 2 x 3 x 2 5x 6 Factoring is the process

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roots of x 4 13x 2 36 0 - Rewrite x4 x 4 as x2 2 x 2 2 Let u x2 u x 2 Substitute u u for all occurrences of x2 x 2 Factor u2 13u 36 u 2 13 u 36 using the AC method Tap for more steps Replace all