Question

What is the factor of 6a2 – 19a + 10 ???

Answer 1

Answer:

(2a - 5) • (3a - 2)

step by step explanation:

Step-1 : Multiply the coefficient of the first term by the constant 6 • 10 = 60

Step-2 : Find two factors of 60 whose sum equals the coefficient of the middle term, which is -19 .

-60 + -1 = -61

-30 + -2 = -32

-20 + -3 = -23

-15 + -4 = -19 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and -4

6a2 - 15a - 4a - 10

Step-4 : Add up the first 2 terms, pulling out like factors :

3a • (2a-5)

Add up the last 2 terms, pulling out common factors :

2 • (2a-5)

Step-5 : Add up the four terms of step 4 :

(3a-2) • (2a-5)

Which is the desired factorization

Final result :

(2a - 5) • (3a - 2)

Answer 2

Answer:

(2a-5) (3a-2) is your correct answer.

thank you ☺️☺️