Question 197603
f(x)= ax^2+ bx+ 5 Find a and b if f(x+1)- f(x)=8x+3
----------------
f(x+1) = a(x+1)^2 + b(x+1) + 5
f(x+1) = ax^2 + 2ax + a + bx + b + 5
f(x+1) = ax^2 + (2a+b)x + (a+b+5)
Now subtract f(x) = ax^2 + bx + 5 to get:
f(x+1)-f(x) = 2ax + a+b
=====================
Cheers,
Stan H.