Question

What is the remainder when 2 is synthetically divided into the polynomial -3x2 + 7x - 9?

Answer 1

-7

Explanation:

When you divide a polynomial f(x) by (x-c), the remainder r will be f(c).

hence you will get the remainder by putting the 2 as value of x:

f(x) = -3x² + 7x - 9

f(2) = -3(2)² +7(2) - 9

= -3(4) + 14 - 9

= -12 + 5

remainder = -7