f(x) = 4x2 - 7x, g(x) = x2 - 3x - 28
Find f/g.
To find f/g, we need to divide f(x) by g(x). Here's how you can do it step by step:
Step 1: Write down the functions f(x) and g(x):
f(x) = 4x^2 - 7x
g(x) = x^2 - 3x - 28
Step 2: Divide the first term of f(x) by the first term of g(x).
The first term of f(x) is 4x^2.
The first term of g(x) is x^2.
Dividing 4x^2 by x^2 gives us 4.
Step 3: Write down the result, which is the first term in the answer:
The first term of f/g is 4.
Step 4: Multiply the divisor, g(x), by the result of the previous division.
In this case, multiply (x^2 - 3x - 28) by 4.
4(x^2 - 3x - 28) = 4x^2 - 12x - 112
Step 5: Subtract the result from the original divisor, g(x):
(x^2 - 3x - 28) - (4x^2 - 12x - 112) = -3x^2 + 9x + 84
Step 6: Repeat steps 2 to 5 until you cannot divide anymore.
-3x^2 + 9x + 84 cannot be divided further by x^2.
Step 7: Write the final result as f/g:
f/g = 4 - 3x^2 + 9x + 84
Therefore, f/g is equal to 4 - 3x^2 + 9x + 84.
to do this, just divide:
f/g = (4x^2 - 7x)/(x^2 - 3x - 28)
since, there is no common factor from numerator and denominator and nothing can be cancelled,
f/g = (4x^2 - 7x)/(x^2 - 3x - 28)
so there,, :)