Factoring Trinomials - Perfect Squares Worksheets

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Factoring Perfect Square Trinomials
Factoring Trinomials

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Objective: I can factor perfect square trinomials.

What is a perfect square trinomial?
A perfect square trinomial is of the form:
(ax)2 + 2abx + b2

Take note that

  1. The first term and the last term are perfect squares
  2. The coefficient of the middle term is twice the square root of the last term multiplied by the square root of the coefficient of the first term.

When we factor a perfect square trinomial, we will get
(ax)2 + 2abx + b2 = (ax + b)2 or
(ax)2 2abx + b2 = (ax b)2

Read the lesson on Perfect Square Trinomials if you need more information.

Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!
Factor the following.
Enter each answer in the format (x+1)^2, with no spaces.

x2 + 18x + 81=

x2 - 20x + 100 =

x2 - 14x + 49 =

x2 + 22x + 121 =

x2 + 18x + 81 =

25x2 - 120x + 144 =

49x2 + 84x + 36 =

x2 - 16x + 64 =

81x2 - 180x + 100 =

4x2 - 12x + 9 =

x2 - 6x + 9 =

x2 + 10x + 25 =

9x2 - 12x + 4 =

49x2 + 14x + 1 =

36x2 + 132x + 121 =

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