Question

If alpha and beta are zeroes of polynomial x2-5x+3 then find the values of alpha cube -beta cube​

Answer 1

GIVEN:

★$\alpha$&$\beta$ are the zeroes of the polynomial $x^{2}-5x+3$

TO FIND:

★$\alpha^{3}-\beta^{3}$

CONCEPT USED:

We would factorise it using standard formula

i.e $\large\green{\boxed{\dfrac{-b ± \sqrt{b^{2}-4ac}}{2a}}}$

of the equation in $ax^{2}+bx+c$ form

Now, refer to the attachment:

$\huge\purple{\boxed{\alpha^{3}-\beta^{3}=22\sqrt{13}}}$