Question

If f(x)=3x3+5x2-4, then what is the remainder when f(x) is divided by x-1

Answer 1

4

Explanation:

If you divide a polynomial f(x) by a linear binomial (x - q), then a remainder is equal to f(q).

We have the polynommial:

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

and the linear binomial:

`x-1\to q=1`

Calculate f(1) /substitute x = 1/:

`f(1)=3(1)^3+5(1)^2-4=3(1)+5(1)-4=3+5-4=4`