Calculatrice de multiplication de polynômes
Multiplier des polynômes pas à pas
La calculatrice multiplie deux polynômes (quadratique, binomial, trinomial, etc.), avec les étapes indiquées.
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.