Question

if a and b are the zeroes of the polynomial ax square plus bx plus c find the value of a cube plus b cube​

Answer 1

Answer:

3abc - b^3/a^3

Step-by-step explanation:

$\alpha + \beta = \frac{ - b}{a} = \frac{ - b}{a} \\ \alpha \beta = \frac{c}{a} = \frac{c}{a} \\ { \alpha }^{3} + { \beta }^{3} = ({ \alpha + \beta })^{3} - 3 \alpha \beta ( \alpha + \beta )$

= (-b/a)^3 - 3 (c/a)(-b/a)

= -b^3/a^3 + 3bc/a^2

= b^3 + 3abc/a^3

= 3abc - b^3/a^3