Question

What is the quotient of (4x2 − 15x + 9) ÷ (x − 3)?.

Answer 1

Larry thinks that the quotient of

4x2 + 7x − 15

x + 3

is 4x − 5. Complete the explanation of how you can check his answer using multiplication. Then, check his answer. Is Larry correct?

You can check the quotient by multiplying the quotient by the , or . The product is , so Larry correct.

Explanation:

yes help me

Answer 2

The first thing that we want to do is factor the quadratic expression in the numerator.
4x2 - 15x + 9
(4x - 3)(x - 3)
Now, we have the following equation:

`((4x-3)(x-3))/((x-3))`

Now, both numerator and denominator have an (x-3), so you can divide (x-3) from the numerator

`((4x-3)(x-3))/((x-3))`

`((4x-3)(1))/((1))`

So, we are left with 4x-3

Hope this helped!! :D