Question

Write the quadratic polynomial whose zeroes are 6 and -4

Answer 1

Solution:

Let m,n are two zeroes of

a quadratic polynomial.

m = 6 , n = -4

i) m+n = 6-4 = 2

ii) mn = 6(-4) = -24

______________________

Polynomial whose zeroes

are m, n is

k[x²-(m+n)x+mn]

______________________

Required polynomial,

k[x²-2x+(-24)]

=k[x²-2x-24]

For all real values of k , above

polynomial is true .

If k=1 ,

polynomial = x²-2x-24

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