Question

if 9x2 − 24x + 16 is a perfect square trinomial. If it is, determine the factors.

Yes; (3x + 4)(3x + 4)
Yes; (9x − 1)(x − 16)
Yes; (3x − 4)(3x − 4)
Not a perfect square trinomial

Answer 1

(3x-4)(3x-4)

Answer 2

Both \(9x^2\) and 16 are perfect squares and 24 is twice the product of 3x and 4 so \(9x^2-24x+16\) is a perfect square trinomial.


Furthermore, its factors are \((3x-4)\) and ((3x+4)\) .