If (x - a) is a factor of f(x) then the remainder when f(x) - k is divided by (x - a) is :
0
k
-k
a
2 Likes
By factor theorem,
If x - a is a factor of polynomial f(x), then remainder f(a) = 0.
Given,
(x - a) is a factor of f(x), then f(a) = 0.
Substituting x = a, in f(x) - k,
⇒ f(a) - k
⇒ 0 - k
⇒ -k.
Hence, Option 3 is the correct option.
Answered By
1 Like
x - 1 is a factor of 8x2 - 7x + m; the value of m is :
-1
1
-2
2
One factor of x3 - kx2 + 11x - 6 is x - 1. The value of k is :
-6
12
6
-12
(x - 2) is a factor of :
x3 - x2 + x - 6
x3 + x2 + x + 6
2x3 - 6x2 + 5x - 1
x3 - 4x2 + x - 8