Lesson goal: Multiplying a polynomial by a monomial

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A monomial is an algebraic expression consisting of a single term, like $2x$ or $3x^2$. A polynomial contains two or more terms added or subtracted together. According to the distributive property: $$a(b + c) = ab + ac$$ When we multiply a polynomial by a monomial, such as $2x(x^2 - 3x + 4)$, the monomial is distributed to each term individually: $$2x \cdot x^2 - 2x \cdot 3x + 2x \cdot 4 = 2x^3 - 6x^2 + 8x$$ The algebra("...") function performs this expansion in a fraction of a second.
algebra("2*x * (x^2 - 3*x + 4)")print(#)
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Always use the multiplication sign * between numbers and variables in the expression string.

Now you try. Try multiplying 3*x^2 * (2*x^3 - 5*x + 1) and print the result.

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