complex numbers
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The complex number 1 + (√ 2)i is denoted by u. The polynomial x 4 + x 2 + 2x + 6 is denoted by p(x). (i) Showing your working, verify that u is a root of the equation p(x) = 0, and write down a second complex root of the equation. [4] (ii) Find the other two roots of the equation p(x) = 0. [6]
what is the polynomial?? your question is in bits....can you put them together and tell me what the polynomial is?
x^4+x^2+2x+6
The complex number 1 + (√2)i is denoted by u. The polynomial x 4 +x2 + 2x + 6 is denoted by p(x). (i) Showing your working, verify that u is a root of the equation p(x) = 0, and write down a second complex root of the equation. [4] (ii) Find the other two roots of the equation p(x) = 0. [6]
plug in the value of u into p(x)....if you get zero, you have proven its a root of p(x)=0...
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