Question

write the quadratic polynomial whose zero and products of zeros are a)-3&-4 b)-1/4&3/2

Answer 1

a. Sum of zeroes = a + b = -3
and, product of zeroes = ab = -4
A quadratic equation is of the form
p(x) = kx²-(a+b)x+ab   (where, k is a constant)
       = x² -(-3)x+(-4)
       = x²+3x-4
   ----------------------

b. 
a. Sum of zeroes = a + b = -1/4
and, product of zeroes = ab = 3/2
A quadratic equation is of the form
p(x) = kx²-(a+b)x+ab   (where, k is a constant)
       = x² -(-1/4)x+(3/2)
       = x²+1/4x+3/2
  Multiplying both sides by 4, we obtain
  4 (0) = 4(x²+1/4x+3/2)
           = 4x²+x+6
   ----------------------

Please mark as brainliest