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Questions and Answers
What is the greatest common factor (GCF) of $12x^3y$, $8xy$, and $-6xy$?
What is the greatest common factor (GCF) of $12x^3y$, $8xy$, and $-6xy$?
- $2xy$ (correct)
- $6x^3y$
- $8xy^2$
- $4x^2y$
After dividing, what is the simplified form of $\frac{25x^7}{5x}$?
After dividing, what is the simplified form of $\frac{25x^7}{5x}$?
- $5x^6$ (correct)
- $20x^6$
- $5x^8$
- $30x^6$
What is the simplified form of $\frac{30x}{5x}$?
What is the simplified form of $\frac{30x}{5x}$?
- 5
- 30
- x
- 6 (correct)
What is the factored form of the quadratic expression $x^2 - 11x + 18$?
What is the factored form of the quadratic expression $x^2 - 11x + 18$?
In the quadratic expression $x^2 - 11x + 18$, what is the value of 'c'?
In the quadratic expression $x^2 - 11x + 18$, what is the value of 'c'?
Flashcards
Greatest Common Factor (GCF)
Greatest Common Factor (GCF)
The largest expression that divides evenly into all terms of a polynomial.
Factoring
Factoring
To rewrite a polynomial as a product of its factors. Reverse of expanding.
Dividing Polynomials by Monomials
Dividing Polynomials by Monomials
Divide each term of the polynomial by the monomial, using exponent rules.
Factoring x^2 + bx + c
Factoring x^2 + bx + c
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Factored Form
Factored Form
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Study Notes
- Topic 6 - Quiz
- Quiz Date: 1/22/25
Factoring Polynomials Using GCF
- Expression: 12x⁵y³ + 8x⁴y² - 6x³y¹
- Factors of 12: 2, 6, 2, 3
- Factors of 8: 2, 4, 2, 2
- Factors of 6: 2, 3
- There are three x's
- There is one y
- GCF: 2x³y¹(6x² + 4x - 3)
Dividing Polynomials by 5x
- (25x⁷ - 10x² + 30x) / 5x = 5x⁶ - 2x¹ + 6
- Note: x⁰ = 1
Factored Form of x² + 11x + 18
- Standard form: x² + bx + c
- ax² + 11x + 18
- Factors of 18: 1, 18, 2, 9, 3, 6
- p + q = b
- p * q = c
- Factored form: (x + 2) * (x + 9)
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