Question

Simplify (12x^2 + x – 32) ÷ (3x – 5)

Answer 1

Answer:

(12x^2+x-32)/(3x-5)

Step-by-step explanation:

STEP1:Equation at the end of step 1

((22•3x2) - 3x) - 5 = 0

STEP2:Trying to factor by splitting the middle term

 2.1     Factoring  12x2-3x-5 

The first term is,  12x2  its coefficient is  12 .

The middle term is,  -3x  its coefficient is  -3 .

The last term, "the constant", is  -5 

Step-1 : Multiply the coefficient of the first term by the constant   12 • -5 = -60 

Step-2 : Find two factors of  -60  whose sum equals the coefficient of the middle term, which is   -3 .

     -60   +   1   =   -59     -30   +   2   =   -28     -20   +   3   =   -17     -15   +   4   =   -11     -12   +   5   =   -7     -10   +   6   =   -4     -6   +   10   =   4     -5   +   12   =   7     -4   +   15   =   11     -3   +   20   =   17     -2   +   30   =   28     -1   +   60   =   59