Answer:
x=6
Explanation:
Equation at the end of step 1 :
4x2 + 31x + 39
Simplify ——————————————
x + 6
Trying to factor by splitting the middle term
2.1 Factoring 4x2 + 31x + 39
The first term is, 4x2 its coefficient is 4 .
The middle term is, +31x its coefficient is 31 .
The last term, "the constant", is +39
Step-1 : Multiply the coefficient of the first term by the constant 4 • 39 = 156
Step-2 : Find two factors of 156 whose sum equals the coefficient of the middle term, which is 31.
-156 + -1 = -157
-78 + -2 = -80
-52 + -3 = -55
-39 + -4 = -43
-26 + -6 = -32
-13 + -12 = -25
2.2 Polynomial Long Division
Dividing : 4x2+31x+39
("Dividend")
By : x+6 ("Divisor")
dividend 4x2 + 31x + 39
- divisor * 4x1 4x2 + 24x
remainder 7x + 39
- divisor * 7x0 7x + 42
remainder - 3
Quotient : 4x+7
Remainder : -3