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-Dominant- [34]
3 years ago
6

Which polynomial is a perfect square trinomial?

Mathematics
2 answers:
sineoko [7]3 years ago
4 0
Assuming the 2nd one is 4a^2 - 20a +25, it is the one you're looking for. It factors to be (2a-5)^2
Mnenie [13.5K]3 years ago
4 0

Answer:

4a^2 - 20a+25

Step-by-step explanation:

Since, for a perfect square trinomial the value of discriminant = 0,

That is, if for a quadratic equation ax^2+bx+c

D=b^2-4ac=0

Then, ax^2+bx+c is a perfect square trinomial,

For 49x^2 - 28x+16,

(-28)^2-4\times 49\times 16=-2352\neq 0

⇒ 49x^2 - 28x+16 is not a perfect square trinomial,

For 4a^2 - 20a+25,

(-20)^2-4\times 4\times 25=400-400=0

⇒ 4a^2 - 20a+25 is a perfect square trinomial,

For 25b^2 - 20b - 16,

(-20)^2-4\times 25\times -16=2000\neq 0

⇒ 25b^2 - 20b - 16 is not a perfect square trinomial,

For 16x^2 - 24x - 9,

(-24)^2-4\times 16\times -9=1152\neq 0

⇒ 16x^2 - 24x -9 is not a perfect square trinomial,

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