101
Verify the relationship between the zeroes and the coefficients of the polynomial $p(x) = 3x^2 – 5x$.
Show SolutionHide Solution↓
Solution
Zeroes are $0, \frac{5}{3}$ (1/2+1/2 Mark)
Sum of zeroes $= 0 + \frac{5}{3} = \frac{5}{3} = -\frac{\text{coefficient of x}}{\text{coefficient of x}^2}$ (1/2 Mark)
Product of zeroes$= 0 \times (\frac{5}{3}) = \frac{0}{3} = \frac{\text{constant term}}{\text{coefficient of x}^2}$ (1/2 Mark)
Zeroes are $0, \frac{5}{3}$ (1/2+1/2 Mark)
Sum of zeroes $= 0 + \frac{5}{3} = \frac{5}{3} = -\frac{\text{coefficient of x}}{\text{coefficient of x}^2}$ (1/2 Mark)
Product of zeroes$= 0 \times (\frac{5}{3}) = \frac{0}{3} = \frac{\text{constant term}}{\text{coefficient of x}^2}$ (1/2 Mark)