Mnożenie wielomianów Kalkulator
Mnożenie wielomianów krok po kroku
Kalkulator pomnoży dwa wielomiany (kwadratowy, dwumianowy, trójmianowy itp.), z pokazanymi krokami.
Solution
Your input: multiply 3x8−5x3−x2+2x+1 by 2x2−5x+3.
To multiply polynomials, multiply each term of the first polynomial by every term of the second polynomial. Then simplify the products and add them. Finally, simplify further if possible.
So, perform the first step:
(3x8−5x3−x2+2x+1)⋅(2x2−5x+3)=
=(3x8)⋅(2x2)+(3x8)⋅(−5x)+(3x8)⋅(3)+
+(−5x3)⋅(2x2)+(−5x3)⋅(−5x)+(−5x3)⋅(3)+
+(−x2)⋅(2x2)+(−x2)⋅(−5x)+(−x2)⋅(3)+
+(2x)⋅(2x2)+(2x)⋅(−5x)+(2x)⋅(3)+
+(1)⋅(2x2)+(1)⋅(−5x)+(1)⋅(3)=
Simplify the products:
=6x10−15x9+9x8+
−10x5+25x4−15x3+
−2x4+5x3−3x2+
+4x3−10x2+6x+
+2x2−5x+3=
Simplify further:
=6x10−15x9+9x8−10x5+23x4−6x3−11x2+x+3
Answer: (3x8−5x3−x2+2x+1)⋅(2x2−5x+3)=6x10−15x9+9x8−10x5+23x4−6x3−11x2+x+3.