Answer: (a - 2) • (3a - 4)Step-by-step explanation: (3a2 - 10a) + 8Trying to factor by splitting the middle term 2.1 Factoring 3a2-10a+8 The first term is, 3a2 its coefficient is 3 .The middle term is, -10a its coefficient is -10 .The last term, "the constant", is +8 Multiply the coefficient of the first term by the constant 3 • 8 = 24 Find two factors of 24 whose sum equals the coefficient of the middle term, which is -10 . -24 + -1 = -25 -12 + -2 = -14 -8 + -3 = -11 -6 + -4 = -10 That's itRewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and -4 3a2 - 6a - 4a - 8 Add up the first 2 terms, pulling out like factors : 3a • (a-2) Add up the last 2 terms, pulling out common factors : 4 • (a-2)Add up the four terms of step 4 : (3a-4) • (a-2)Which is the desired factorizationFinal result : (a - 2) • (3a - 4)