Ćwl: Dane są wielomiany: u(x)=x2-8x+3 w(x)=x4-2x3+x2 v(x)=4x-7
Wykonaj zaznaczone działania:
a) u(x)w(x)=(x2-8x+3)(x4-2x3+x2) =
=x6-2x5+x4-8x5+16x4-8x3+3x4-6x3+3x2
=x6-10x5+20x4-14x3+3x2
b) u(x)v(x) = (x2-8x+3)(4x-7) =
=4x3-7x2-32x2+56x+12x-21=
=4x3-39x2+68x-21
c) [v(x)]2=(4x-7) (4x-7) = 16x2-28x-28x+49=
= 16x2-56x+49
d) w(x)-v(x)=(x4-2x3+x2)-(4x-7) =
=4x5-7x4-8x4+14x3+4x3-7x2=
=4x5-15x4+18x3-7x2