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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​

Sagot :

Answer:

They are indeed the zeroes

Step-by-step 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.