Question

Check all polynomials that are perfect square trinomials:

49x2 − 8x + 16

4a2 − 20a + 25

25b2 − 5b + 10

16x2 − 8x + 1

Answer 1

Factor them and check if they are in the form \((\cdots)^2\)

Answer 2

\[
49 x^2-8 x+16=49
x^2-8 x+16\\

4 a^2-20 a+25=(2
a-5)^2\\
25 b^2-5 b+10=5
\left( 5 b^2-b+2\right)\\
16 x^2-8 x+1=(4
x-1)^2
\]
So second and third

Answer 3

sorry
second and fourth