Question

Find the value of k, so that ( x2 – 2x + k ) leaves the remainder 3 when divided

By x+1 is​

Answer 1

p(x) = x² - 2x + k

According to the Question:

p(-1) = 3

So,

==> (-1)² - 2(-1) + k = 3

==> 1 + 2 + k = 3

==> 3 + k = 3

==> k = 3 - 3

==> k = 0

Hence, value of k should be 0 to get remainder 3 when divided by (x + 1)