Question

3n2+25n-6500 find factors​

Answer 1

Step-by-step explanation:

Step 1 :

Equation at the end of step 1 :

((3•5n2) + 25n) - 6500 = 0

Step 2 :

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

15n2 + 25n - 6500 = 5 • (3n2 + 5n - 1300)

Trying to factor by splitting the middle term

3.2 Factoring 3n2 + 5n - 1300

The first term is, 3n2 its coefficient is 3 .

The middle term is, +5n its coefficient is 5 .

The last term, "the constant", is -1300

Step-1 : Multiply the coefficient of the first term by the constant 3 • -1300 = -3900

Step-2 : Find two factors of -3900 whose sum equals the coefficient of the middle term, which is 5 .

-3900 + 1 = -3899

-1950 + 2 = -1948

-1300 + 3 = -1297

-975 + 4 = -971

-780 + 5 = -775

-650 + 6 = -644

-390 + 10 = -380

-325 + 12 = -313

-300 + 13 = -287

-260 + 15 = -245

-195 + 20 = -175

-156 + 25 = -131

-150 + 26 = -124

-130 + 30 = -100

-100 + 39 = -61

-78 + 50 = -28

-75 + 52 = -23

-65 + 60 = -5

-60 + 65 = 5 That's it