Question

Find the zeroes of the quadratic polynomial 5x^2+8x-4 and verify the relation ship between the zeroes and the coefficient of the polynomials

Answer 1

Hey mate

Here is your answer

$5 {x}^{2} + 8x - 4 \\ 5 {x}^{2} + (10 - 2)x - 4 \\ 5 {x}^{2} + 10x - 2x - 4 \\ 5x(x + 2) - 2(x + 2) \\ (5x - 2)(x + 2) \\ x = 2 \div 5\\ x = - 2 \\ a = 5 \\ b = 8 \\ c = - 4 \\ \alpha = 2 \div 5 \\ \beta = - 2 \\ \alpha + \beta = - b \div a \\ 2 \div 5 + ( - 2) = - 8 \div 5 \\( 2 - 10 )\div 5 = - 8 \div 5 \\ - 8 \div 5 = - 8 \div 5 \\ \alpha \times \beta = c \div a \\ 2 \div 5 \times ( - 2) = - 4 \div 5 \\ - 4 \div 5= - 4 \div 5$