Question

Find the zeroes of the polynomial p(x)=x³+4x²+x-6,if it is given that the product of two of its zeroes is 6​

Answer 1

given product of two zeroes is 6.

product of three zeroes is 6 based on the relationship between roots and coefficients.

so one zero is 1.

so,

x=1|1. 4. 1. -6

|0. 1. 5. 6

_____________

1. 5. 6

x²+5x+6=0.

x²+2x+3x+6=0

x(x+2)+3(x+2)=0

(x+3)(x+2)=0

x=-3 or x=-2

x=-2,-3,1.

Answer 2

hope it is helpful

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