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Select the polynomial that is a perfect square trinomial. 9x^2 + 9x + 1 36b^2 − 24b + 8 16x^2 + 24x + 9 4a^2 − 10a + 25Asked by monalisa
Select the polynomial that is a perfect square trinomial.
9x2 + 9x + 1
36b2 − 24b + 8
16x2 + 24x + 9
4a2 − 10a + 25
9x2 + 9x + 1
36b2 − 24b + 8
16x2 + 24x + 9
4a2 − 10a + 25
Answers
Answered by
Steve
the first and last numbers must be perfect squares. So, B is out.
The middle number must be twice the product of the roots of the 1st and last, since
(a+b)^2 = a^2+2ab+b^2
If we check 9x^2+9x+1, a=3 and b=1, but that would need 2*3*1 = 6x in the middle. So, (A) is out.
Check the other two.
The middle number must be twice the product of the roots of the 1st and last, since
(a+b)^2 = a^2+2ab+b^2
If we check 9x^2+9x+1, a=3 and b=1, but that would need 2*3*1 = 6x in the middle. So, (A) is out.
Check the other two.
Answered by
monalisa
the third one
Answered by
Steve
correct.
Answered by
tristan
I don't get how you get to that conclusion, Help?
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