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Questions and Answers
Which number will make the expression x^2+6x+9 a perfect square trinomial?
Which number will make the expression x^2+6x+9 a perfect square trinomial?
What is the missing number that will make the expression x^2+10x+___ a perfect square trinomial?
What is the missing number that will make the expression x^2+10x+___ a perfect square trinomial?
What is the missing number that will make the expression x^2+8x+___ a perfect square trinomial?
What is the missing number that will make the expression x^2+8x+___ a perfect square trinomial?
What number should be added to x^2+6x to make it a perfect square trinomial?
What number should be added to x^2+6x to make it a perfect square trinomial?
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What is the coefficient of x in the expression x^2+6x+9?
What is the coefficient of x in the expression x^2+6x+9?
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What is the perfect square trinomial form of x^2+10x+25?
What is the perfect square trinomial form of x^2+10x+25?
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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.
