Given that the zeroes of the cubic polynomial x³ – 6x² + 3x + 10 are of the form a, a + b, a + 2b for some real numbers a and b, find the values of a and b as well as the zeroes of the given polynomial.

Question

TextRelationship Between Zeroes and Coefficients of Cubic Polynomial

Loading...

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

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.