Question

Determine which polynomial is a perfect square trinomial.

49x2 − 28x + 16

9a2 − 30a + 25

25b2 − 45b − 81

16x2 − 24x − 9

Answer 1

16x2-24x-p= (4x-3)^2

Answer 2

How did you figure that out so fast? I want to learn too.

Answer 3

just uses (a-b)^2 and try to fit the above equation in this

Answer 4

i mean that satisfies a^2-2ab+b^2

Answer 5

Take the square root of the first and last terms. So for example in \[\Large 49x^2-28x+16\], take the square root of 49x^2 to get 7x and take the square root of16 to get 4


The middle term is either equal to -2*7x*4 = -56x or 2*7x*4 = 56x


So either \[\Large 49x^2-56x+16\] or \[\Large 49x^2+56x+16\] are perfect squares


This means that \[\Large 49x^2-28x+16\] is NOT a perfect square

Answer 6

thank you