Question

factorise x cube + 13 x square - 32 X + 20​

Answer 1

Step-by-step explanation:

x1=-15.19

x2=1.096

x3=1.096

Answer 2

Step-by-step explanation:

Let p(x) = x3 + 13x2 + 32x + 20

p(-1)

=

-1 + 13 - 32 + 20

= -33 + 33 = 0

Therefore (x + 1) is a factor of p(x).

On dividing p(x) by (x + 1)

we getp

(x)  (x + 1) = x2 + 12x + 20

Thus,x3 + 13x2 + 32x + 20

= (x + 1)(x2 + 12x + 20)

= (x + 1) (x2 + 10x + 2x + 20)= (x + 1)[x(x + 10) + 2(x + 10)]

= (x + 1) (x +2) (x + 10)

Hence, x3 + 13x2 + 32x + 20 = (x + 1) (x +2) (x + 10).