Podcast
Questions and Answers
Factor completely: 2x²-7x+3
Factor completely: 2x²-7x+3
(2x-1)(x-3)
Factor the trinomial completely: 3w²+14w+8
Factor the trinomial completely: 3w²+14w+8
(w+4)(3w+2)
Factor the trinomial: 5d²-22d+8
Factor the trinomial: 5d²-22d+8
(d-4)(5d-2)
Factor the trinomial: 6h²+8h+2
Factor the trinomial: 6h²+8h+2
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Factor the trinomial: 9x²+6x-8
Factor the trinomial: 9x²+6x-8
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Factor the trinomial: 6q²-13q+6
Factor the trinomial: 6q²-13q+6
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Factor the trinomial: 2x²-11x+15
Factor the trinomial: 2x²-11x+15
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Factor the trinomial: 4t²+15t-4
Factor the trinomial: 4t²+15t-4
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Study Notes
Factoring Trinomials
- Factoring trinomials involves rewriting a quadratic in the form of ( ax^2 + bx + c ) as the product of two binomials.
- The goal is to express the trinomial as ( (px + q)(rx + s) ).
Example Trinomials and Their Factors
- 2x² - 7x + 3 factors to ( (2x - 1)(x - 3) ).
- 3w² + 14w + 8 factors to ( (w + 4)(3w + 2) ).
- 5d² - 22d + 8 factors to ( (d - 4)(5d - 2) ).
- 6h² + 8h + 2 factors to ( (h + 1)(3h + 1) ).
- 9x² + 6x - 8 factors to ( (3x - 2)(3x + 4) ).
- 6q² - 13q + 6 factors to ( (2q - 3)(3q - 2) ).
- 2x² - 11x + 15 factors to ( (x - 3)(2x - 5) ).
- 4t² + 15t - 4 factors to ( (t + 4)(4t - 1) ).
Key Techniques in Factoring
- Look for patterns such as a perfect square trinomial.
- Identify the coefficients and constant terms to determine suitable binomials.
- Confirm the factorization by expanding the binomials to ensure they reconstruct the original trinomial.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your skills in factoring trinomials with this engaging flashcard quiz. Each card presents a trinomial for you to factor completely. Perfect for beginners or anyone looking to refresh their algebra knowledge!
