Question

zad.1
a) rozloz wielomiany na czynniki:
a. W(x)=x do potegi 3+2x do potegi 2+x
b.W(x)=x do potegi 3+3x do potegi 2+x+3
b) rowiaz rownania
a. (x do potegi 2-4)(x do potegi 2+3x-10)=0
b. x do potegi 3+ 2x do potegi 2-8x-16=0
zad.3 oblicz:
a) log 1000

bardzo prosze o szybka odpowiedz, nagradzam duza iloscia punktow (;

Answer 1

1

a  x^3+2x^2+x=x(x^2+2x+1)

b  x^3+3x^2+x+3=(x^2+1)(x+3)

2

a  (x^2-4)(x^2+3x-10)=(x-2)(x+2)(x^2+3x-10)   delta=9+40=49 sqrt(delta)=7 x1=-5 x2=2 x3=-2

b  x^3+2x^2-8x-16=x^2(x+2)-8(x+2)=(x^2-8)(x+2)=(x-2sqrt(2))(x+2sqrt(2)(x+2) x1=2 x2=2sqrt(2) x3=-2sqrt(2)

 

c log1000=3 bo 10^3=1000