Question

Select the polynomial that is a perfect square trinomial.

9x2 + 9x + 1

36b2 − 24b + 8

16x2 + 24x + 9

4a2 − 10a + 25

Answer 1

Hello,

Answer C

16x²+24x+9=(4x+3)²

Answer 2

Answer: (c)
`16x^(2)+24x+9`.

Step-by-step explanation:

(a)
`9x^(2) +9x+1` cannot be further factorised, so this is not correct option.

(b)
`36b^(2)-24b+8` also cannot be expressed as factors, and hence this is too not correct.

(c)
`16x^(2)+24x+9=({4x+3} )^2`, the correct one.

(d)
`4a^(2)-10a+25` cannot be factorised, so its not correct.

Thus, (c)
`16x^(2)+24x+9` is the correct option.