Question
Question 3(Multiple Choice Worth 1 points) (07.03 MC) Factor completely 3x^2-x+5 Prime (3x+1)(x-5) (3x-1)(x+5) (x+1)(3x-5)
Solution
4.2
(94 Votos)
Eduardo
Elite · Tutor por 8 anos
Resposta
To factor the quadratic expression
completely, we need to check if it can be factored into the form \((ax + b)(cx + d)\).First, let's use the quadratic formula to find the roots of the quadratic equation
:The quadratic formula is given by:
For the quadratic equation
, the coefficients are:
Substitute these values into the quadratic formula:
Since the discriminant (
) is negative, the quadratic equation has no real roots. This means that the quadratic expression
cannot be factored over the real numbers.Therefore, the correct answer is:
So, the correct choice is: