how to find the zeros of x 4 13x 2 36

how to find the zeros of x 4 13x 2 36 Solve for x x

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how to find the zeros of x 4 13x 2 36
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Question Video Finding The Set Of Zeros Of A Polynomial Function Nagwa
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Since there are no terms of odd degree we can treat this as a quadratic in x2 to simplify it then factorize each of the resulting quadratic factors First note that 36 9 4 and 9 The calculator writes a step by step easy to understand explanation of how the work was done

Note also that 36 9 4 and 13 9 4 so we find x4 13x2 36 Find the zeros of x 4 13x 2 36 0 The zeros of x 4 13x 2 36 0 are x 3 x 3 x 2 x 2

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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 Explanation Let s start by factorising the expression x4 13x2 36 x2 4 x2 9 x 2 x 2 x 3 x 3 So x 2 x 2 x 3 x 3 0

Verify Zeros Use synthetic division or substitution to check each potential zero If the polynomial equals zero for some value that s a rational zero Find all real zeros of the function is as simple as isolating x on one side of the equation or editing the expression multiple times to find all zeros of the equation Generally for a given

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how to find the zeros of x 4 13x 2 36 - Find the zeros of x 4 13x 2 36 0 The zeros of x 4 13x 2 36 0 are x 3 x 3 x 2 x 2