If one zero of the quadratic polynomial f(x)=4x^2-8kx+8x-9 is negative of the other ,then find the zeros of kx^2+3kx+2.

1
by TharuComar14

2015-09-25T18:38:55+05:30

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According to the given question it is already given that - ''If one zero of the quadratic polynomial f(x)=4 x² - 8 k x + 8 x - 9  is negative''

So let the roots of this polynomial be as follows :-

α , - α { As per to given )

We already know what is the sums of roots , ( i.e ...)

coefficient of x / coefficient of x²

→ ( As per to given )

→ ( After simplifying )

Hence the value of k is 1

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Now let us put the value of k as 1 in the given polynomial - kx² + 3 kx + 2

⇒ So we get as follows ,

Now , we can find the zeroes of polynomial by spliting  the middle term method for  -

Now , let us find the alpha and beta for the following polynomial to get the final answer :-

→Alpha - α = -1

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Another Zero :-

→Beta - β =  -2

Hence the two zeroes are -1 and  -2.