Calcolatrice per la moltiplicazione di polinomi
Moltiplicare i polinomi passo dopo passo
La calcolatrice moltiplica due polinomi (quadratici, binomiali, trinomiali, ecc.), con i passaggi indicati.
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.