Factor completely 3x^2 − 11x + 8.

(x - 1) (3 x - 8)

Step-by-step explanation:

Factor the following:

3 x^2 - 11 x + 8

Factor the quadratic 3 x^2 - 11 x + 8. The coefficient of x^2 is 3 and the constant term is 8. The product of 3 and 8 is 24. The factors of 24 which sum to -11 are -3 and -8. So 3 x^2 - 11 x + 8 = 3 x^2 - 8 x - 3 x + 8 = 3 x (x - 1) - 8 (x - 1):

3 x (x - 1) - 8 (x - 1)

Factor x - 1 from 3 x (x - 1) - 8 (x - 1):

(x - 1) (3 x - 8)

linear

step-by-step explanation:

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.