Factoring Quadratic Equations

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Objective

I can factor quadratic equations in the form ax² + bx + c.

Part 1 of 4

Warm-up video

Professor Dave Explains · 9:37Vetted channel

We don't generate video — this one is by Professor Dave Explains on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 4

Key concepts

3 concepts

  1. 1

    The standard form for a quadratic equation is Ax² + Bx + C = 0, where A, B, and C are integers.

  2. 2

    To factor a quadratic in the form x² + Bx + C, find two numbers that multiply to C and add to B.

  3. 3

    If (x + M)(x + N) = 0, then the solutions are x = -M or x = -N, because anything times zero is zero.

Part 3 of 4

Practice

3 questions

1

What two things must be true about the numbers you are looking for when factoring a quadratic in the form x² + bx + c?

2

Factor the following quadratic equation: x² + 5x + 6 = 0. What values of x would make this equation true?

Part 4 of 4

Exit ticket

Quick comprehension check

Factor the quadratic equation x² + 5x + 6. Show all steps.

Sample answer included in the free materials

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