Factoring Mathppt

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1. Factoring DORA’S ADVICE <ul><li>To ‘factor’ means to write as a product </li></ul><ul><li>For example:…
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  • 1. Factoring DORA’S ADVICE <ul><li>To ‘factor’ means to write as a product </li></ul><ul><li>For example: </li></ul><ul><li>12= </li></ul><ul><li>16= </li></ul><ul><li>20= </li></ul>
  • 2. Greatest Common Factors <ul><li>12=1x12, 2x6, 3x4 </li></ul><ul><li>16=1x16, 2x8, 4x4 </li></ul><ul><li>20=1x20, 2x10, 4x5 </li></ul><ul><li>GCF= </li></ul>
  • 3. TRY IT <ul><li>3x, 9x, 18x GCF= </li></ul><ul><li>20ab, 12a, 4b GCF= </li></ul><ul><li>100, 10000, 100000000 GCF= </li></ul><ul><li>60x, 20x, 45 GCF= </li></ul>
  • 4. Continuing On… <ul><li>After you find the GCF, simply factor it out like so.. </li></ul><ul><li>3x + 9x + 18x GCF= 3x </li></ul><ul><li>= 3x(1 + 3x + 6x) </li></ul>
  • 5. Hi kids! I’m the backpack. Lets help Dora on her adventure! <ul><li>X ² + 9x + 20 </li></ul><ul><li>First, we need to find a number that multiplies to 20 and adds to 9 </li></ul><ul><li>____x____=20 </li></ul><ul><li>____+____=9 </li></ul>
  • 6. We’re almost there kids! <ul><li>Next, put the numbers in this format: </li></ul><ul><li>X ² + 9x + 20 </li></ul><ul><li>4 x 5 = 20 </li></ul><ul><li>4 + 5 = 9 </li></ul><ul><li>(x + 4)(x + 5) </li></ul><ul><li>We double check: </li></ul>
  • 7. Factoring difference of squares <ul><li>5x ² - 45 </li></ul><ul><li>To factor this, first find the GCF </li></ul><ul><li>GCF= </li></ul>
  • 8. Factoring difference of squares <ul><li>5x ² - 45 </li></ul><ul><li>GCF= 5 </li></ul><ul><li>So then it ends up as… </li></ul><ul><li>5( x² - 9) </li></ul><ul><li>Since 9 is a perfect square…. </li></ul>
  • 9. Continuing on…. <ul><li>5 (x + 3)(x - 3) </li></ul><ul><li>We double check: </li></ul>
  • 10. WE DID IT DORA DORA DORA DORA DORA DORA DORA DORA DORA
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