Question

if -2 and -4 are the zeros of a quadratic polynomial whose leading coefficient is 2 then find the value of the product of zeros and the leading coefficient

Answer 1

Answer:

if zeroes are -2 &-4

than its factor will be x=-2 & x =-4

polynomial (x+2)(x+4)

=> x^2+6x+8

for making the leading cofficient 2 we need to multiply the polynomial with 2.

=> 2(x^2+6x+8)

=> 2x^2+12x+16

therefore the polynomial is 2x^2+12x+16