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Algebra 1 8-6 Factoring ax² + bx+ c

Last updated almost 7 years ago
22 questions
10

Solve It! An array of three rectangular solar panels has the area below:
The height of the array is x + 3. What is the length of the array?

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Problem 1 Got It? Drag two binomial factors to the trinomial to represent its factored form.

  • (3x + 1)
  • (3x + 5)
  • (2x + 1)
  • (3x + 2)
  • 6x² + 13x + 5
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Problem 1 Got It? Reasoning: Consider the trinomial below.
Suppose ac is positive and b is negative. What do you know about the factors of ac?

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Problem 2 Got It?

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Problem 3 Got It?

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Problem 4 Got It?

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Reasoning: Explain why you cannot factor the trinomial.

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Reasoning: To factor the trinomial 8x² + bx + 3, a student correctly rewrites the trinomial as 8x² + px + qx + 3.

What is the value of pq? Enter only a number.

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Review Lesson 8-5: Identify the factored form of each expression. Check your answer.

  • (t + 4)(t + 11)
  • (t - 5)(t - 12)
  • (t - 4)(t + 7)
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Review Lesson 2-7: Match each proportion with its solution.

  • 21
  • 12.5
  • 12
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Review Lesson 8-4: Simplify the product.

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Review Lesson 8-4: Simplify the product.

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Review Lesson 8-4: Simplify the product.

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Review Lesson 8-4: Simplify the product.

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Vocabulary Review: Complete each sentence with the correct form of the word factor.

  • factoring
  • factor
  • factored
  • The monomials 12x, 3x², and 6x³ have a common __?__ of 3x.
  • When __?__ a trinomial, begin by looking for a factor common to all three terms.
  • A student __?__ the expression 12x³ - 6x² into 6x²(2x - 1).
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Use Your Vocabulary: You can rewrite the expression below in order to factor it.
Which rewritten expression below is NOT equivalent to the original expression?

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Reflection: Math Success