Steps for factoring quadratic expressions

Descripción

1.5 mind map assement
Danielle Gunter
Mapa Mental por Danielle Gunter, actualizado hace alrededor de 2 meses
Danielle Gunter
Creado por Danielle Gunter hace alrededor de 2 meses
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Resumen del Recurso

Steps for factoring quadratic expressions
  1. Find the greatest common factor
    1. Find a number that multiplies into all terms, the greatest or largest number is what we are looking for
      1. Divide each term in the equation by the gcf you just found in the last steps
        1. put the divided terms in the brackets showing you have divided the terms out
          1. what you are left with is the greatest common factor
    2. difference of squares factoring
      1. check if the terms have a greatest common factor and factor it out
        1. rewrite the binomial so that each term is written as a squared term, expand the equation
          1. subtract between the terms you have just expanded, now simplify
            1. before simplifying check to be sure you cant factor anymore
        2. identify that the binomial is in fact a difference of squares
        3. perfect squares factoring
          1. identify that its a perfect squares trinomial, confirm the first and last numbers are perfect squares
            1. make sure your middle term is twice the product of your square roots of your first an last terms
              1. write the equation to find your gcf
                1. expand your equation
                  1. simplify, rewrite your equation by subtraction and putting like terms together
          2. factoring simple trinomials
            1. us the sum product rule, find what the first and last numbers multiply to but add up to give middle number or b
              1. use these numbers you have found to write out your factors
                1. now expand your factors
                  1. simplify
            2. Factoring complex trinomials
              1. Multiply the x squared and plain coefficent together
                1. list the numbers of the steps above
                  1. find which factors in the list add to give the x middle coefficent
                    1. rewrite the quadratic into 4 like terms
                      1. split the quadratic into 2 and factorise to give 2 identical brackets
                        1. rewrite into 2 brackets
                  2. make sure no common factor exists
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