Question

If one of the zeros of cubic polynomial is -1 the polynomial x cube + x square + bx + c then the product of other two zeros is

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Answer 1

Hey

As we know product of the three zeros in a polynomial is -d/a

α×β×Φ = -d ÷ a

Since one zero is -1 it'll be

-1*β*Φ = -c/1

Which implies the product of the other two zeroes is c

Answer 2

let the other two zeroes of this polynomial be m and n. then, product of zeroes =-c/a . so, the product of two zeroes is equal to c