If 2x2 2 + x - 3 divides x - 2, find the remainder.

If 2x${}^2$ + x - 3 divides x - 2, find the remainder.

Answer Details

When you divide a polynomial p(x) by (x - a), the remainder = p(a)
i.e. In the case of 2x${}^2$ + x - 3 $÷$ (x - 2), the remainder = p(2).
= 2(2)${}^2$ + 2 - 3
= 8 + 2 - 3
= 7.