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If the product of the zeros of the polynomial ax^2 — 6x — 6 is 4, find the value of a. Also find the sum of zeros of the polynomial
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The value of a is -1.5 and the sum of its zeroes is -4.
Step-by-step explanation:
The given polynomial is
ax^2 — 6x — 6
If a polynomial is given as ,ax^2 - bx - c then the sum of zeroes is -b/a and the product of zeroes is c/a.
It is given that the product of zeroes the given polynomial is 4.
product of zeroes =
-6/a
4=-6/a
a=-1.5
The value of a is -1.5.
The sum of its zeroes is
sum of its zeroes = -(-6)/(-1.5)=-4
Therefore the sum of its zeroes is -4.
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