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Calculatrice de multiplication de polynômes

Multiplier des polynômes pas à pas

La calculatrice multiplie deux polynômes (quadratique, binomial, trinomial, etc.), avec les étapes indiquées.

First polynomial:

Second polynomial:

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Solution

Your input: multiply 3x85x3x2+2x+1 by 2x25x+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:

(3x85x3x2+2x+1)(2x25x+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:

=6x1015x9+9x8+

10x5+25x415x3+

2x4+5x33x2+

+4x310x2+6x+

+2x25x+3=

Simplify further:

=6x1015x9+9x810x5+23x46x311x2+x+3

Answer: (3x85x3x2+2x+1)(2x25x+3)=6x1015x9+9x810x5+23x46x311x2+x+3.