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2.6 Factor x 2 + bx + c

2.6 Factor x 2 + bx + c. Facts. Use the following information to factor trinomials of the form x 2 + bx + c: x 2 + bx + c = (x + p)(x + q) p + q = b pq = c You can FOIL your answer to check your work!. Example 1:. Factor x 2 + 10x + 24

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2.6 Factor x 2 + bx + c

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  1. 2.6Factor x2 + bx + c

  2. Facts • Use the following information to factor trinomials of the form x2 + bx + c: • x2 + bx + c = (x + p)(x + q) • p + q = b • pq = c • You can FOIL your answer to check your work!

  3. Example 1: • Factor x2 + 10x + 24 • Find two positive factors of 24 whose sum is 10.

  4. Example 2: • Factor w2 – 10w + 9 • Because b is negative and c is positive, p and q must be negative.

  5. Example 3: • Factor k2 + 6k – 7 • Because c is negative, p and q must have different signs.

  6. You Try: • Factor the trinomial: • y2 + 6y + 5 Answer: (y + 5)(y + 1) • z2 – 7z + 12 Answer: (z – 3)(z – 4) • y2 + 2y – 63 Answer: (y – 7)(y + 9)

  7. Example 4: • Solve the equation h2 – 4h = 21 • Solution: Write the original equation: h2 – 4h = 21 Subtract 21 from each side: h2 – 4h – 21 = 0 Factor the left side: (h + 3)(h – 7) = 0 Zero-Product Property: h + 3 = 0 OR h – 7 = 0 Solve for h: h = -3 OR h = 7

  8. You Try: • Solve the equation x2 + 30 = 11x

  9. Homework: • P. 83 # 1 – 27odd

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