Question

Use synthetic substitution to evaluate the polynomial P(x) = x^3-3x^2+4x-7 for x=3

Answer 1

`(x^3-3x^2+4x-7)/(x-3) =(x^2+4)+(5)/(x-3)`

Explanation:

We are given polynomial as

`P(x)=x^3-3x^2+4x-7`

and it is divided by x=3 or x-3

we can use synthetic division

so, we got

Remainder =5

Quotient is

`=x^2+0x+4`

`=x^2+4`

we can write as

`(x^3-3x^2+4x-7)/(x-3) =(x^2+4)+(5)/(x-3)`