Question

Factorise
using
factors theorem,

x^3 + 4x² + 5x +2​

Answer 1

Answer:

To find the other roots we need to divide #x^3+4x^2+5x+2# by #x+1#:

#(x^3+4x^2+5x+2)/(x+1)#

=#x^2+(3x^2+5x+2)/(x+1)#

=#x^2+3x+ (2x+2)/(x+1)#

=#x^2+3x+2#

Step-by-step explanation:

Now we can apply thye general formula for a second degree polynom:

#x=(-3+-sqrt(3^2-4*2))/2#

#x=(-3+-sqrt(1))/2#

#x=(-3+-1)/2#

#x=(-4)/2 or x=(-2)/2#

#x=-2 or x=-1#

So the factorization will be

the product of (x-roots) or

#(x+1)^2(x+2)#

Answer 2

Answer:

it is different method of solving the cubic polynomial but keep In mind that this method is applicable only there is x^3