SOLUTION: Determine whether each of the following is a trinomial square. 1. x^2-14x + 49 2. x^2-10x - 25 3. 36x^2-24x+16 4. 16x^2-40xy+25y^2 5. 9x^2 - 36x + 24 Can someone please

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Determine whether each of the following is a trinomial square. 1. x^2-14x + 49 2. x^2-10x - 25 3. 36x^2-24x+16 4. 16x^2-40xy+25y^2 5. 9x^2 - 36x + 24 Can someone please      Log On


   



Question 74577: Determine whether each of the following is a trinomial square.
1. x^2-14x + 49
2. x^2-10x - 25
3. 36x^2-24x+16
4. 16x^2-40xy+25y^2
5. 9x^2 - 36x + 24
Can someone please help? Thank you!!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Determine whether each of the following is a trinomial square.
Conditions: 1st and 3rd terms are perfect squares
2nd term is + or - twice the product of the square roots of 1st and 3rd
1. x^2-14x + 49 -------yes
2. x^2-10x - 25 -------yes
3. 36x^2-24x+16 -------no; middle term is not 2(6x)(4)=48x
4. 16x^2-40xy+25y^2 -----yes
5. 9x^2 - 36x + 24 ------no; 24 is not a perfect square
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Cheers,
Stan H.