Question

fatore a expressão :

6x^3- 10x^2 + 4x^4

Answer 1

P(x)=4x^4 + 6x^3 -10x^2
P(x)=a.(x-xn)
P(x)=4.(x-1)(x-0)(ax^2+bx+c)
P(x)=4x(x-1)(ax^2 + bx +c)
P(x)=(4x^2-4x)(ax^2+bx+c)
P(x)=4aX^4 + 4bx^3 + 4cx^2 -4ax^3-4bx^2-4cx
P(x)=a.(4x^4) +x^3(4b-4a) + x^2(4c-4b) +x(-4c)
a.4x^4 =4x^4
a=1

4b-4a=6
4b-4=6
4b=10
b=5/2

4c-4b=-10
4c-4.5/2=-10
4c-10=-10
4c=0
c=0

P(x)=4x.(x-1)(x^2+5/2x)