Question

if m and. are zeros of polynomial 3x square + 11x - 4. find m cube + n cube ​

Answer 1

Answer:

From eq 3x² +11x –4 =0

$m + n = - \frac{11}{3}$

$mn = - \frac{4}{3}$

so,

${m}^{3} + {n}^{3} = {(m + n)}^{3} - 3mn(m + n)$

${m}^{3} + {n}^{3} = {( - \frac{11}{3} )}^{3} - 3 \times ( - \frac{4}{3} )( - \frac{11}{3} ) =$

${m}^{3} + {n}^{3} = - \frac{1331}{27} - \frac{44}{3} = - ( \frac{1331 + 396}{27}) = - \frac{1727}{27}$