Answer :

Answer:

b) 5x − 2

Explanation:

A quadratic expression ax² + bx + c can be factored using the AC method. First, we multiply a and c. Next, we find factors of ac that add up to b. Finally, we divide those factors by a and reduce. The numerators and denominators become the constants and coefficients.

10x² − 19x + 6

a = 10, b = -19, c = 6

Using the AC method:

ac = 60

Factors of 60 that add up to -19 are -4 and -15.

Divide by a and reduce:

-4/10 = -2/5 and -15/10 = -3/2

Therefore, the factors are 5x − 2 and 2x − 3.

10x² − 19x + 6 = (5x − 2) (2x − 3)

Of the options, only B is a factor of the expression.