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If you mean x^4 + 3x^2 +2, then you would use any letter.
Say y = x^2
therefore x^4 + 3x^2 +2 must = y^2 + 3y + 2
you can now factorise this:
(y+2)(y+1)
so y = -2 or y = -1
Remember, y = x^2
so, -2 = x^2. square root this. But if you remember what you've been taught, then you cannot square root a (-). So, there are no solutions. This means that the line on the graph will not intersect the x-axis.
I hope this is what you are looking for.
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What is the degree of this polynomial 3x2 - 4x plus 9?
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What is an example of a polynomial?
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Factor this polynomial completely 3x2 plus 2x - 8?
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