Question

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients

3x² – x – 4

Answer 1

3x² – x – 4 = 3x² – 4x + 3x – 4

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

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

The zeroes of the polynomial are {4/3, -1}

Relationship between the zeroes and the coefficient of the polynomial:

Also sum of the zeroes = ` 4/3 -1 = (4 - 3)/3 = 1/3`

Also product of the zeroes = `4/3x -1 = - 4/3`

Hence verified