Dane są wielomiany:
W(x)= x²+x+1
P(x)=2x³ -7x+3
Q(x)=-3x³+4x²-9x+1
Wykonaj działania:
1. [W(x)] ²
2. P(x)*Q(x)
3.W(x)*(P(x)+4Q(x))
4. W(x)*(P(x)-Q(x))
wyniki:
1.x^4+2x^3+3x^2+2x+1
2.-6x^6+8x^5+3x^4-35x^3+75x^2-34x+3
3.-10x^5+6x64-37x^3-20x^2-36x+7
4.5x^5+x^4+3x^3+4x+2
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1. [W(x)] ²
2. P(x)*Q(x)
2.
3. W(x)*(P(x)+4Q(x))
(P(x)+4Q(x))=(2x³ -7x+3)+(-12x^{3}+16x^{2}-36x+4)
W(x)*(P(x)+4Q(x)) = (x²+x+1)(-10x^{3}+16x^{2}-43x+7)=
=
4. W(x)*(P(x)-Q(x))
(P(x)-Q(x))=(2x³ -7x+3)-(-3x³+4x²-9x+1)=
=
W(x)*(P(x)-Q(x)) = (x²+x+1)(5x^{3}-4x^{2}+2x+2)=
=