Question

Obtain all other zeroes of f(x) = x^3+13x^2+32x+20, if one of its zeroes is -2

Answer 1

Since, -2 is the zero of f (x)

Therefore x-2 is the factor of f (x)

Now

x-2)x^3+13x^2+32x+20 (x^2+11x+10

x^3+2x^2

--------------------

11x^2+32x+20

11x^2+22x

----------------------

10x+20

10x+20

-----------------

0

Again,

x^2+11x+10

= x^2+10x+x+10

= x (x+10)+1 (x+10)

= (x+10)(x+1)

Hence, the requires zeroes of f (x) are

-10 and -1