The polynomial f(x)divided x-3 results in a quotient of x 2 +3x-5 with a remainder of 2 find f(3)?

Answer 1

We can rewrite the same as:

f(x) = (x-3)*(x^2+3x-5)+2

Substitute x=3 in the equation above gives:

f(3) = 2

Answer 2

multiply the quotent by the divisor and add the remainder to obtain the original polynomial. Substitute x for 3 to find f(3).

Answer 3

its the remainder theorem

F(3) gives the remainder

which is given to be 2

so F(3) = 2