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Factoring Review

This is a review on factoring trinomials and solving equations of the form ax^2 + bx + c = 0. Examples and practice problems are provided to help understand the concepts better.

williestanley
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Factoring Review

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  1. Factoring Review Objective: Factor trinomials of the form ax2 + bx + c. Solve equations of the form ax2 + bx + c = 0.

  2. Example 1 • Factor each trinomial. 5x2 + 27x + 10 • (x + 5)(5x + 2)

  3. Example 2 • Factor each trinomial. Don’t forget GCF 4x2 + 24x + 32 • 4(x + 4)(x + 2)

  4. Example 3 • Choose the best answer for the following. • Factor 3x2 + 26x + 35. • (3x + 7)(x + 5) • (3x + 1)(x + 35) • (3x + 5)(x + 7) • (x + 1)(3x + 7)

  5. Example 4 • Choose the best answer for the following. • Factor 2x2 + 14x + 20. • (2x + 4)(x + 5) • (x + 2)(2x + 10) • 2(x2 + 7x + 10) • 2(x + 2)(x + 5)

  6. Example 5 • Factor 24x2 – 22x + 3. • (4x – 3)(6x – 1)

  7. Example 6 • Choose the best answer for the following. • Factor 10x2 – 23x + 12. • (2x + 3)(5x + 4) • (2x – 3)(5x – 4) • (2x + 6)(5x – 2) • (2x – 6)(5x – 2)

  8. Example 7 • Factor 3x2 + 7x – 5. • Prime

  9. Example 8 • Choose the best answer for the following. • Factor 3x2 – 5x + 3, if possible. • (3x + 1)(x – 3) • (3x – 3)(x – 1) • (3x – 1)(x – 3) • Prime

  10. Example 9 • Mr. Nguyen’s science class built a model rocket. They launched the rocket outside. It cleared the top of a 60-foot high pole and then landed in a nearby tree. If the launch pad was 2 feet above the ground, the initial velocity of the rocket was 64 feet per second, and the rocket landed 30 feet above the ground, how long was the rocket in flight? • Use the equation h = -16t2 + vt + h0. The rocket was in flight for 3.5 seconds.

  11. Example 10 • Choose the best answer for the following. • When Mario jumps over a hurdle, his feet leave the ground traveling at an initial upward velocity of 12 feet per second. Find the time t in seconds it takes for Mario’s feet to reach the ground again. Use the equation h = -16t2 + vt + h0. • 1 second • 0 seconds • ¾ seconds • ½ seconds

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