FIND EQUATION OF CUBIC POLYNOMIAL FROM ZEROS WORKSHEET

Find all cubic polynomials with zeros of :

Problem 1 :

±2, 3

Solution

Problem 2 :

-2, ± i

Solution

Problem 3 :

3, -1 ± i

Solution

Problem 4 :

-1, -2 ± √2

Solution

Problem 1 :

Find all third degree real polynomials with zeroes of -1/2 and 1-3i.

Solution

Problem 2 :

p(x) is a real cubic polynomial in which p(1) = p(2 + i) = 0 and p(0) = -20. Find p(x) in expanded form.

Solution

Problem 3 :

5 - i is a zero of 2z³ + az² + 62z + (a - 5), where a is real. Find a and other two zeroes.

Solution

Problem 4 :

-2/3 and 2 are zeroes of 6x³ + ax² - 4ax + b. Find the value of a and b.

Solution