Podcast
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
Signup and view all the flashcards
Factored Form
Factored Form
Signup and view all the flashcards
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)
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Learn to factor polynomials by finding the greatest common factor. Also, divide polynomials by monomials, simplifying expressions. Review factoring quadratic expressions by identifying factor pairs.
