What is the product of the two polynomials shown?

(3x^3+2x^2+x)(x-2)

1 answer

To find the product of the two polynomials, we can apply the distributive property.

(3x^3 + 2x^2 + x)(x - 2) = 3x^3(x) + 2x^2(x) + x(x) - 3x^3(2) - 2x^2(2) - x(2)

Simplifying this expression, we get:

= 3x^4 + 2x^3 + x^2 - 6x^3 - 4x^2 - 2x

Combining like terms, we have:

= 3x^4 - 4x^3 - 3x^2 - 2x
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