If the sum of the zeroes of the quadratic polynomial x2 + 2x + 3k is
equal to the product of its zeroes, then k =?
Answers
Answer:
k= -2/3
Step-by-step explanation:
Let's say a, b are the zeroes of the polynomial.
G.T,
a+b = a*b
P(x) = x^2 + 2x + 3k
In a quadratic polynomial,
a+b= - (Co effecient of x) /(Co effecient of x^2)
a*b = constant/(Co effecient of x^2)
a+b = - 2
a*b = 3k
According to the problem,
a+b = a*b
-2 = 3k
K = - 2/3
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Answer:
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Step-by-step explanation:
given polynomial = kx 2 −2x−3k
if ax
2
+bx+c is a polynomial then its sum of roots is given by
a
−b
and product of roots is given by
a
c
∴ sum of roots of given polynomial =
k
−(−2)
=
k
2
product of roots =
k
−3k
=−3
it is given that sum of roots = product of roots
k
2
=−3
k=
3
−2
Answered By
toppr