The given expression is 3x^2 - 5x + 10.
To simplify this expression, we can try to factorize it or use the quadratic formula to find the roots.
Factorization: Unfortunately, it seems that this expression cannot be factorized into simpler terms easily using integer factors. So, let's try using the quadratic formula to find the roots.
Quadratic Formula: The quadratic formula is given by: x = (-b ± sqrt(b^2 - 4ac)) / 2a
In this case, a = 3, b = -5, and c = 10. Plugging these values into the quadratic formula, we get: x = (-(-5) ± sqrt((-5)^2 - 4(3)(10))) / (2(3)) x = (5 ± sqrt(25 - 120)) / 6 x = (5 ± sqrt(-95)) / 6
Since the square root of a negative number is not a real number, it means that there are no real roots for this expression. The solutions are complex numbers.
Thus, we cannot simplify the expression 3x^2 - 5x + 10 any further.
