If one of the zero of the cubic polynomial ax³+bx²+cx+d=0 then find the product of the other two zeroes?
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Answered by
4
Answer:
Let α, β and γ are the zeroes of cubic polynomial p(x), where a = 0.
We know that,
Since x is a factor , d= 0
ax^3+bx^2+cx+d = ax^3+bx^2+cx
= x(ax^2+bx+c)
Other two roots are roots of
ax^2+bx+c = 0
For a quadratic equation ax^2+bx+c = 0
Product of roots = c/a
Sum of roots = -b/a
So
Product of other two roots = c/a
Answered by
4
Step-by-step explanation:
✴As one of the zeros of polynomial is 0, then (x-0) =x is a factor of given polynomial.
Since x is a factor , d= 0
ax^3+bx^2+cx+d = ax^3+bx^2+cx
= x(ax^2+bx+c)
Other two roots are roots of
ax^2+bx+c = 0
For a quadratic equation ax^2+bx+c = 0
Product of roots = c/a
Sum of roots = -b/a
So,
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➸ Product of other two roots = c/a
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➡HOPE YOU GET SOME HELP ; )
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