Question

Find the sum and product of zeroes of the quadratic polynomial 3x²-x-4​

Answer 1

Answer:

By splitting the middle term,

3x²-x-4

= 3x²+3x-4x-4

= 3x(x+1)-4(x+1)

= (3x-4)(x+1)

So, the zeroes of the polynomial are x = 4/3 and x = -1.

Sum = 4/3 + (-1) = 4/3 - 1 = 1/3

Product = 4/3 × (-1) = -4/3