Find a cubic polynomial whose zeroes are 2, -3 and 4.

1.	Find a cubic polynomial whose zeroes are 2, -3 and 4.
Answer» General form of a cubic polynomial whose zeroes are a, b and c is: x³ – (a + b + c) x² + (ab + bc + ca)x – abc …(1) To Find: Cubic polynomial whose zeroes are 2, -3 and 4 Let us say, a = 2, b = – 3 and c = 4 Putting the values of a, b and c in the equation (1) we get: = x³ – (2 – 3 + 4) x² + (-6 – 12 + 8) x – (- 24) = x³ – 3x² – 10x + 24 Which is required polynomial.

Answer»

General form of a cubic polynomial whose zeroes are a, b and c is:

x³ – (a + b + c) x² + (ab + bc + ca)x – abc …(1)

To Find: Cubic polynomial whose zeroes are 2, -3 and 4

Let us say, a = 2, b = – 3 and c = 4

Putting the values of a, b and c in the equation (1) we get:

= x³ – (2 – 3 + 4) x² + (-6 – 12 + 8) x – (- 24)

= x³ – 3x² – 10x + 24

Which is required polynomial.

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