SOLUTION: simplify the expression using long division: (2x^2-33x+16) / (x-16)

Algebra ->  Rational-functions -> SOLUTION: simplify the expression using long division: (2x^2-33x+16) / (x-16)      Log On


   

Question 396701: simplify the expression using long division:
(2x^2-33x+16) / (x-16)
Found 2 solutions by MathLover1, ewatrrr:
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

%282x%5E2-33x%2B16%29+%2F+%28x-16%29........-33x replace with -x-32x

%282x%5E2-x+-32x%2B16%29+%2F+%28x-16%29.....group

%28%282x%5E2-+x%29+-%28+32x-16%29%29+%2F+%28x-16%29

%28x%282x-+1%29+-16%28+2x-1%29%29+%2F+%28x-16%29

%282x-+1%29+%28+x-16%29+%2F+%28x-16%29

%282x-+1%29+cross%28%28+x-16%29%29+%2F+cross%28%28x-16%29%29

%282x-+1%29+

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

%282x%5E2-33x%2B16%29+%2F+%28x-16%29

%282%28x%5E2-%2833%2F2%29x+%2B+8%29%29+%2F+%28x-16%29  |factoring the numerator

2%28x-.5%29%28x-16%29+%2F+%28x-16%29 Note:SUM of the inner product(-.5x) and the outer product(-16x) = (-33/2)x

  2(x -.5) OR  2x + 1