x^2 + 4x + 5 cannot be factored because its discriminant is less than zero.
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Remember both 16 & 25 are squared numbers. 16 = 4^2 & 25 = 5^2 Hence we can write (4x)^2 - (5y)^2 Remember two squared terms with a NEGATIVE Between them will factor. ( 4x - 5y)(4x + 5y) Note the difference signs. NNB Two squared terms with a positive (+) between them DOES NOT factor.
(x + 1)(2x + 5)
4x3 + 16x2 - 180x = 4x(x2 + 4x - 45) = 4x(x + 9)(x - 5)
If the equation is 4x squared - 5x + 10 = 0, then you set a = 4, b = -5, c = 10. Replace these numbers in the quadratic formula.
If that's - 4x, the answer is (2x + 3)(2x - 5) If that's + 4x, the answer is (2x - 3)(2x + 5)