Factor completely. If the polynomial cannot be factored, write "prime."
-$4 x^{2}-5 x+9$
A) $(4 x-1)(x-9)$
B) prime
C) $(2 x-9)(2 x-1)$
D) $(4 x-9)(x-1)$

Question

Quizplus · Accepted Answer

The given polynomial $4x^2-5x+9$ cannot be factored into any of the provided options. The discriminant of the quadratic equation, given by $b^2-4ac$, is negative ($(-5)^2-4*4*9 = 25-144 = -119$), indicating that the roots are complex and the polynomial does not factor over the real numbers.

Factor Completely 4x2−5x+94 x^{2}-5 x+94x2−5x+9 A) (4x−1)(x−9)(4 x-1)(x-9)(4x−1)(x−9) B) Prime C) (2x−9)(2x−1)(2 x-9)(2 x-1)(2x−9)(2x−1)

Factor Completely $4 x^{2}-5 x+9$ A) $(4 x-1)(x-9)$ B) Prime
C) $(2 x-9)(2 x-1)$