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.
