Algebra II: Unit 4 Review Flashcardizz

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Fully Factor the Following: 216x^3 + 125y^3

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@@\left(6x+5y\right)\left(36x^2-30xy+25y^2\right)@

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Factor completely and solve: f(x) = 3x^4 + 9x^3 - 12x^2 - 36x

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{-3, -2, 0, 2}

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Solve the system and find ALL solutions: What are the solutions?

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{(-4, -5), (-3, -7), (-4, -9)}

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Find the factored form of the polynomial equation with the roots x = 2 and x = -4i.

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What is the definition of a polynomial?

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A polynomial is an expression consisting of variables and coefficients, involving only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

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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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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 is the zero product property?

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If the product of two or more factors is zero, at least one of the factors must be zero.

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What is factoring by grouping?

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Factoring by grouping is a method used to factor polynomials by grouping terms with common factors.