8 9 skills practice perfect squares with work


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Skills Practice Perfect Squares and Factoring DATE PERIOD Determine whether each trinomial is a perfect square trinomial If so factor it 1 c² 2 24r 4

PDF Chapter 8 Resource Masters

Skills Practice This master focuses more on the computational nature of the lesson squares b factoring by grouping c perfect square trinomial d prime 

  • What is the perfect square technique?

    When an expression has the general form a²+2ab+b², then we can factor it as (a+b)².
    For example, x²+10x+25 can be factored as (x+5)².
    This method is based on the pattern (a+b)²=a²+2ab+b², which can be verified by expanding the parentheses in (a+b)(a+b).

  • Why are perfect squares always positive?

    A perfect square is an integer which is the square of another integer n , that is, n2 . (Since a negative times a negative is positive, a perfect square is always positive.

  • Is 2 a perfect square?

    Every number is a square, but it is only a 'perfect square' if its square root is an integer.
    For example the root of 2 is not a perfect square it is an irrational number 1.4142 but the square root of 4 is 2 hence perfect square.

  • They are 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400, 441, 484, 529, 576, 625, 676, 729, 784, 841, 900 and 961.

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