Question

Which polynomial is paired to its factored form?

49x2 + 112x + 64 and (7x + 8)3
25x2 − 45x + 81 and (5x – 9)2
216x3 − 540x2 + 450x – 125 and (6x – 5)3
729x3 + 324x2 + 144x + 64 and (9x + 4)3

Answer 1

216 x^3 - 540 x^2 + 450 x - 125 = (6 x - 5)^3

Explanation:

The first one cannot be a perfect cube, since the first term contains x^2 and not x^3.

the second one is not a perfect square (the coefficient of the middle term should be an even number: "-90")

The third expression is the perfect cube as shown.