Find all the zeroes of thepolynomialif two of its zeroes are 0 and -2�

1.	Find all the zeroes of thepolynomialif two of its zeroes are 0 and -2
Answer» <P> $\huge\boxed{\fcolorbox{blue}{orange}{HELLO\:MATE}}$ GIVEN: → ${x}^{<klux>3</klux>} + 3 {x}^{<klux>2</klux>} - 2x - 6$ →Two of it's zeroes are 0 and -2. TO FIND: →All zeroes of the polynomial. ANSWER: Let p(x) = ${x}^{3} + 3 {x}^{2} - 2x - 6$ ______________________________________ We would find it's zeroes by the METHOD of FACTORISATION and then equating it with 0. ______________________________________ Let p(x) = 0. => ${x}^{3} + 3 {x}^{2} - 2x - 6=0$ => $x^{2}(x+3) -2(x+3) =0$ => $(x^{2}-2) (x+3) =0$ => ${[(x^{2})-(\sqrt{2}) ^{2}]} (x+3) =0$ $\large\green{\boxed{a^{2}-b^{2}=(a+b) (a-b) }}$ => $(x+\sqrt{2}) (x-\sqrt{2}) (x+3) =0$ => $x = -3, \sqrt{2}, -\sqrt{2}$ Hence the zeroes are -3, -√2, √2. $\huge\orange{\boxed{Answer:-3, \sqrt{2}, -\sqrt{2}}}$