Answer:
(5x - 3)(x - 3)
Explanation:
Yes, the expression "5x^2 - 8x + 9" can be factored.
One way to factor it is to find the two numbers that multiply to give 9 (the constant term) and add to give -8 (the coefficient of x). These two numbers are 3 and -3.
We can use these two numbers to factor out the common factor (x - 3) from the expression:
5x^2 - 8x + 9 = (5x^2 - 8x) + 9
= (5x^2 - 8x + 9) - 9 + 9
= (5x^2 - 8x + 9) - (3x - 3x)
= (5x - 3)(x - 3)
So the fully factored form of the expression is (5x - 3)(x - 3)
So, (5x - 3) and (x - 3) are the factors of the expression "5x^2 - 8x + 9"