the product of two polynomials x³+4x²+5x+6 if one of the polynomials is x-+3 find the other polynomial
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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.
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