Question

Find the zeros of a quadratic polynomial 5² – 4 + 8x and verify the relationship between the zeros and the coefficients of the polynomial

Answer 1

5x² + 8x - 4

5x² + 10x - 2x - 4 = 0

5x(x + 2) - 2(x + 2) = 0

(5x - 2) (x + 2) = 0

$5x - 2 = 0 \\ 5x = 2 \\ x = \frac{2}{5}$

and

$x + 2 = 0 \\ x = - 2$