Find all the zeroes of the polynomial x³ + 3x² – 2x – 6, if one of its zeroes is √2.

Question

TextRelationship Between Zeroes and Coefficients of Cubic Polynomial

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If the product of two zeroes of the polynomial f(x) = x³ – 5x² – 14x + 80 is 8, the third zero is:

Given that two of the zeroes of the cubic polynomial ax³ + bx² + cx + d are 0, the third zero is

Given that one of the zeroes of the cubic polynomial ax³ + bx² + cx + d is zero, the product of the other two zeroes is

If one of the zeroes of the cubic polynomial x³ + ax² + bx + c is –1, then the product of the other two zeroes is

Are the following statements 'True' or 'False'? Justify your answers.

t³ – 2t² – 15t