factorise x^3+13x^2+32x+20
AdiTi222:
are u sure its 13??
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=x^3+13x^2+32x+20
value test method for factoring
x= -1;
=(-1)^3 + 13(-1)^2 + 32(-1) + 20
= -1 + 13 - 32 + 20
= 0//
accordingly >> x= -1 is factor of x^3+13x^2+32x+20
a,b,c are constant not blad
x^3+13x^2+32x+20 = (x+1)(ax^2 + bx + c)
= ax^3 + bx^2 + cx + ax^2 + bx + c
= ax^3 x^2(b + a) + x(c+b) + c
x^3/ x^2/ x/
a =1 13 = b+a 32=c+b
b=12 (accordingly a= 1) c=20
x^3+13x^2+32x+20 =(x+1)(x^2 + 12x + 20)
x^3+13x^2+32x+20 =(x+1)(x + 2)(x + 10)//////
value test method for factoring
x= -1;
=(-1)^3 + 13(-1)^2 + 32(-1) + 20
= -1 + 13 - 32 + 20
= 0//
accordingly >> x= -1 is factor of x^3+13x^2+32x+20
a,b,c are constant not blad
x^3+13x^2+32x+20 = (x+1)(ax^2 + bx + c)
= ax^3 + bx^2 + cx + ax^2 + bx + c
= ax^3 x^2(b + a) + x(c+b) + c
x^3/ x^2/ x/
a =1 13 = b+a 32=c+b
b=12 (accordingly a= 1) c=20
x^3+13x^2+32x+20 =(x+1)(x^2 + 12x + 20)
x^3+13x^2+32x+20 =(x+1)(x + 2)(x + 10)//////
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sorry i dont know thanks for 5 pts lol
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