Multiply Polynomials

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Define a polynomial.

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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?

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

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CCSS.HSA.APR.A.1

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CCSS.HSA.APR.A.1

Front

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

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

Tags

CCSS.HSA.APR.A.1

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What is the result of multiplying two polynomials?

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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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CCSS.HSA.APR.A.1

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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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Tags

CCSS.HSA.APR.A.1

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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.