Question

Find a cubic polynomial with the sum, sum of the product of its zeroes of two at a time, and product of its zeroes as 4,1 and -6 respectively.

Answer 1

Answer:

A cubic polynomial say, f(x) is of the form ax3 + bx2 + cx + d. And, can be shown w.r.t its relationship between roots as. ⇒ f(x) = k [x3 – (sum of roots)x2 + (sum of products of roots taken two at a time)x – (product of roots)] Where, k is any non-zero real number. Here, f(x) = k [x3 – (3)x2 + (-1)x – (-3)] ∴ f(x) = k [x3 – 3x2 – x + 3)] where, k is any non-zero real number.

Step-by-step explanation:

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