Question

423

+ 13x2
-
Use synthetic division to find the result when x4
7x + 3 is
divided by I - 1.

Answer 1

x³ - 3x² + 10x + 3 +
`(6)/(x^4-4x^3+13x^2-7x+3)`

Explanation:

Using synthetic division to divide by x - 1

1 | 1 - 4 13 - 7 3

↓ 1 - 3 10 3

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

1 - 3 10 3 6 ← remainder = 6

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

↑ quotient

`(x^4-4x^3+13x^2-7x+3)/(x-1)` = x³ - 3x² + 10x + 3 +
`(6)/(x^4-4x^3+13x^2-7x+3)`