Factoring Algebraic Functions Quiz
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Questions and Answers

Completely factor the following expression: f(x)= x³+x²-9x-9

(x + 3)(x + 1)(x - 3)

Completely factor the following expression: f(x)=25x²-30x-7

(5x + 1)(5x - 7)

Completely factor the following expression: f(x)= 3x³+21x²+30x

3x(x + 2)(x + 5)

Completely factor the following expression: f(x)= x⁴ - 5x³ - 4x² + 20x

<p>x(x - 2)(x + 2)(x - 5)</p> Signup and view all the answers

Flashcards

Factor f(x) = x³ + x² - 9x - 9

Find the factors of the polynomial x³ + x² - 9x - 9

Factor f(x) = 25x² - 30x - 7

Find the factors of the quadratic polynomial 25x² - 30x - 7

Factor f(x) = 3x³ + 21x² + 30x

Find the factors of the polynomial 3x³ + 21x² + 30x

Factor F(x) = x⁴ - 5x³ - 4x² + 20x

Find the factors of the polynomial x⁴ - 5x³ - 4x² + 20x

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Polynomial Factoring

Break down a polynomial into simpler expressions (factors).

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Factoring by Grouping

A technique where a polynomial is grouped into pairs to determine factors.

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Difference of Squares

Special factoring pattern for expressions of the form a² - b².

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Greatest Common Factor (GCF)

Largest factor that divides all terms in a polynomial.

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Quadratic trinomial

A polynomial with three terms and a degree of two.

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Polynomial Zeros

Values that make a polynomial expression equal to zero.

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Study Notes

Factoring Quiz

  • f(x) = x³ + x² - 9x - 9

    • This is a cubic function.
    • Needs to be factored.
  • f(x) = 25x² - 30x - 7

    • This is a quadratic function.
    • Needs to be factored.
  • f(x) = 3x³ + 21x² + 30x

    • This is another cubic function.
    • Needs to be factored.
    • This might involve finding common factors.
  • f(x) = x⁴ - 5x³ - 4x² + 20x

    • This is a quartic function.
    • Needs to be factored.
    • Factoring quartic equations often involves grouping or other advanced techniques.

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Description

Test your skills in factoring various types of algebraic functions, including cubic, quadratic, and quartic equations. This quiz challenges you to apply different techniques to factor the given functions. See how well you can handle polynomial expressions and their complexities!

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