Find all zeroes of f(x)= x^3+13x^2+32x+20,if one of it\'s zeroes is -2

1.	Find all zeroes of f(x)= x^3+13x^2+32x+20,if one of it\'s zeroes is -2.
Answer» The given polynomial is f(x) = x3+ 13x2 + 32x + 20One of the zeroes = - 2{tex}\\therefore{/tex}\xa0x + 2 is a factor of p(x)For other factor divide p(x) by (x + 2){tex}\\therefore{/tex}Other factor of p(x) is x2 + 11x + 10For other zeroesx2 + 11x + 10 =\xa00(x\xa0+ 10)(x + 1) = 0x = -10, x = -1Hence the factors of x3+ 13x2 + 32x + 20 are -2, -10 and -1.

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