Question

Verify that -1, –3 and -3 are the zeros of the cubic polynomial x³ + 5x² +7x + 3 and check the relationship between zeros and the coefficients​

Answer 1

They are indeed the zeroes

Explanation:

-1 | 1 5 7 3

__-1_-4_-3_

1 4 3 | 0

-3 | 1 5 7 3

__ -3_-6_-3_

1 2 1 | 0

Therefore, x=-1 and x=-3 are the zeroes of the cubic polynomial as the factor (x+1)² has a multiplicity of 2.