Multiply Polynomials

Front

Define a polynomial.

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients, combined using addition, subtraction, and multiplication.

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What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.

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Simplify: -3x^2(7x^2 - x + 4)

Back

-21x^4 + 3x^3 - 12x^2.

Front

What is the result of multiplying two polynomials?

Back

The result is another polynomial obtained by distributing each term of the first polynomial to every term of the second polynomial.

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What is the leading coefficient of a polynomial?

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The leading coefficient is the coefficient of the term with the highest degree in the polynomial.

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What is the difference between a monomial and a polynomial?

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A monomial is a polynomial with only one term, while a polynomial can have multiple terms.

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What does it mean to factor a polynomial?

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Factoring a polynomial means expressing it as a product of its factors, which can be polynomials of lower degrees.