Question

If one of the zeroes of the cubic polynomial x3 + px² + qx + r is -1, then the product of the other two zeroes is​

Answer 1

Answer:

product of the other two zeros is q-p+1.

Answer 2

Answer:

q - p + 1

Step-by-step explanation:

α + β + γ = -p/1     =-p  ________①

       αβ + βγ + γα = q         ________②

       αβγ = -r

        α = -1

from equation ①

                              -1 + β + γ = -p

                              β + γ = 1 - p

from equation ②

                             -β + βγ + (-γ) = q

Adding equation ① & ②

                               β + γ = 1 - p

                             -β + βγ + (-γ) = q  

                            βγ = q - p + 1

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