Question

If f(x)=×^2+7x-5 and you divide by x-2, What is the quotient and remainder?

Answer 1

The quotient is : x+9

The remainder is : 13

Explanation:

The question requires you to perform the long division method;

This will be;

`x-2√(x^2+7x-5)`

start with the x term in x-2 and the first term in the function, x², to get x then multiply the x with x-2 to get x²-2x and perform the operation below;

x-2√x²+7x-5 -----------to first get x and then multiply x*[x-2]⇒x²-2x

- x²-2x+0 ------------perform subtraction of like terms

---------------------

9x-5 ----now divide this answer by x-2 ,starting with x and 9x

----------------------This will give , 9 then multiply 9 by x-2 to get 9x-18 and perform the subtraction operation as;

9x-5

- 9x-18

------------------------

13

So the answer will be; x+9 remainder 13