Rozłóż wielomian w na czynniki, grupując jego wyrazy. a) w(x)=x⁴+2x³-8x-16 b) w(x)=14x³-7x²+4x-2 c) w(x)=x⁴-3x³+x-3

a) w(x)=x⁴+2x³-8x-16 w(x)=x³(x+2)-8(x+2) w(x)=(x³-8)(x+2) w(x)=(x-2)(x²+2x+4)(x+2) b)w(x)=14x³-7x²+4x-2 w(x)=7x²(2x-1)+2(2x-1) w(x)=(7x²+2)(2x-1) c)w(x)=x⁴-3x³+x-3 w(x)=x³(x-3)+(x-3) w(x)=(x³+1)(x-3) w(x)=(x+1)(x²-x+1)(x-3)

a) w(x)=x⁴+2x³-8x-16=x³(x+2)-8(x+2)=(x+2)(x³-8)=(x+2)(x-2)(x²+2x+4) b)w(x)=14x³-7x²+4x-2=7x²(2x-1)+2(2x-1)=(2x-1)(7x²+2) c)c) w(x)=x⁴-3x³+x-3 =x³(x-3)+(x-3)=(x-3)(x³+1)=(x-3)(x+1)(x²-x+1)

a) W(x)=x⁴+2x³-8x-16=x³(x+2)-8(x+2)=(x+2)(x³-8)=(x+2)(x-2)(x²+2x+4) b) W(x)=14x³-7x²+4x-2=7x²(2x-1)+2(2x-1)=(2x-1)(7x²+2) c) W(x)=x⁴-3x³+x-3=x³(x-3)+(x-3)=(x-3)(x³+1)=(x-3)(x+1)(x²-x+1)