Find a polynomial P(x) with real coefficients having a degree 6, leading coefficient 5, and zeros 4, 0 (multiplicity 3), and 2-4i.
Added by Olga S.
Step 1
Degree 6 and leading coefficient 5: We know that the polynomial has degree 6 and leading coefficient 5. Therefore, we can start with the general form of a polynomial with degree 6 and leading coefficient 5: P(x) = 5x^6 + ax^5 + bx^4 + cx^3 + dx^2 + ex + f Show more…
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