Question

please help me I am not able to solve it​

Answer 1

Answer:

(i)

p (x)=8x^2-19x-15

$= 8 {x}^{2} + 24x - 5x - 15 \\ =8x(x + 3) - 5(x + 3) \\ = (8x - 5)(x + 3) \\ zeros \\ (i) \\ \alpha = \\ 8x = 5 \\ x( \alpha ) = \frac{5}{8} \\ (ii) \\ \beta = \\ x( \beta ) = - 3 \\ reation \: between \alpha \: and \: \beta \\ \alpha \beta = \frac{c}{a} \\ \frac{5}{8} \times - 3= \frac{ - 15}{8} \\ prove \\ \alpha + \beta = - \frac{b}{a} \\ \frac{5}{8} + ( - 3) = \frac{ - 15}{8} \\ \frac{5 - 24}{8} = \frac{ - 15}{8} \\ prove$

next solve you

Hint:

(ii)

8x-3x

(iii)

8x-3x