Question

1
2
Find the quadratic polynomial whose zeros are 2 and -6.
If the product of zeroes of the polynomial ax'-6x-6 is 4. Find the
value of a
​

Answer 1

1.

zeros - 2 , -6

so factors are (x-2) , (x+6)

quadratic polynomial = product of factors

so

( x - 2 )( x + 6 )

=x2 + 6x - 2x - 12

= x2 + 4x - 12 is the quadratic polynomial

2. Product of the zeros

alpha × beta = c/a

genral form of quadratic polynomial is ax2 + bx +c

so ,

4 = (-6)/a

a= (-6)/4

a = (-3)/2

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