Question
Which expression is prime? A) x2 - 6x + 9 B) x2 + 16x + 64 C) 4x2 + 20x + 25 D) 9x2 - 30x - 25
Asked by: USER5297
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103 Answers
Answer (103)
D is a prime polynomial.
The best way to figure this out is by attempting to factor them all. Each of them factors into perfect squares except for D.
A)
x^2 - 6x + 9 = (x - 3)^2
B)
x^2 + 16x + 64 = (x + 8)^2
C)
4x^2 + 20x + 25 = (2x + 5)^2
D we can also tell won't have a perfect square like that because it ends in a negative number. No number multiplied by itself is negative.
The best way to figure this out is by attempting to factor them all. Each of them factors into perfect squares except for D.
A)
x^2 - 6x + 9 = (x - 3)^2
B)
x^2 + 16x + 64 = (x + 8)^2
C)
4x^2 + 20x + 25 = (2x + 5)^2
D we can also tell won't have a perfect square like that because it ends in a negative number. No number multiplied by itself is negative.
Answer:
The answer is [tex]9x^{2} - 30x - 25[/tex].
Step-by-step explanation: