Question

Use Synthetic divison to divide the polynomial P(x) = 4x3 − 5x2 + 6x − 7 by x − 2 and find

the quotient and remainder.

Answer 1

`4x^2+3x+12+(17)/(x-2)`

Explanation:

To fine the number we put in the top corner, we need to set
`x-2` to 0 and solve for x.

That gives us 2, which we put in the top left corner.

Then, we write out all coefficients of every degree.

We bring the first value down, the multiply and bring down again, and so on.

This gives us our simplified equation. The remainder will go over the expression we were dividing by, or
`x-2`