Perfect Square Trinomials Quiz
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Questions and Answers

Which number will make the expression x^2+6x+9 a perfect square trinomial?

  • 5
  • 4
  • 3 (correct)
  • 6
  • What is the missing number that will make the expression x^2+10x+___ a perfect square trinomial?

  • 5
  • 25 (correct)
  • 100
  • 10
  • What is the missing number that will make the expression x^2+8x+___ a perfect square trinomial?

  • 8
  • 2
  • 6
  • 4 (correct)
  • What number should be added to x^2+6x to make it a perfect square trinomial?

    <p>9</p> Signup and view all the answers

    What is the coefficient of x in the expression x^2+6x+9?

    <p>6</p> Signup and view all the answers

    What is the perfect square trinomial form of x^2+10x+25?

    <p>(x+5)^2</p> Signup and view all the answers

    Study Notes

    Perfect Square Trinomials

    • A perfect square trinomial takes the form ( (x + a)^2 ) or ( (x - a)^2 ), and expands to ( x^2 + 2ax + a^2 ).
    • To form a perfect square trinomial, the middle term's coefficient must be double the square root of the last term.

    Missing Numbers to Complete Perfect Square Trinomials

    • For the expression ( x^2 + 6x + 9 ), the number is 9. It completes the equation as it equals ( (x + 3)^2 ).
    • For ( x^2 + 10x + ___ ), the missing number is 25, completing the expression to ( (x + 5)^2 ).
    • For ( x^2 + 8x + ___ ), the missing number is 16, forming ( (x + 4)^2 ).

    Additional Notes

    • To convert ( x^2 + 6x ) into a perfect square trinomial, the number 9 must be added, resulting in ( (x + 3)^2 ).
    • The coefficient of ( x ) in the expression ( x^2 + 6x + 9 ) is 6, coming from the original term ( 2a ) where ( a = 3 ).
    • The perfect square trinomial form of ( x^2 + 10x + 25 ) is ( (x + 5)^2 ).

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    Description

    Perfect Square Trinomials Quiz: Test your knowledge on finding the missing number to make expressions x^2+6x+, x^2+10x+, and x^2+8x+___ a perfect square trinomial. Sharpen your algebra skills and learn how to identify and solve perfect square trinomials with this quick and informative quiz.

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