SOLUTION: Find two different polynomials j(x) and g(x) such that the degree of each polynomial is greater than 1 and j(5) = g(5) = 0. I don't even know where to start.

Question 892677: Find two different polynomials j(x) and g(x) such that the degree of each polynomial is greater than 1 and j(5) = g(5) = 0. I don't even know where to start.
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
This allows many possible polynomials j and g.
Needing a root to be 5, each function would have a binomial factor x-5. Generally, you can have both j and g in degree 2, which is greater than degree 1.

and and that m, and p, are any real numbers. You can also include a factor for each polynomial, also of real numbers.

If k and h are both any real numbers NOT equal to zero, then you can have
and .

The problem specified that each degree must be greater than 1; and my general example used degree 2 for both functions. You can choose higher degrees if desired. You can choose something like for real numbers k, b, c, and recognize that j(x) is in degree 3. This still has a root of 5.
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