Q11 of 82 Page 130

In the polynomial f(x) if then the factor of f(x) will be

In the question, it is given that which means that is a root of the polynomial f(x).

Which means that, [x – ()] =0 is a factor of the polynomial f(x).

[x + ()] =0 is a factor.

2x + 1 = 0 is a factor.

Hence the correct option is (b).

Let us show that if n be any positive integer (even or odd), the x – y never be a factor of the polynomial xⁿ + yⁿ.

If the polynomial x³ + 6x² + 4x + k is divisible by (x + 2), then the value of k is

(x – 1) is a factor of the polynomial f(x) but it is not the factor of g(x). So (x – 1) will be a factor of

(x + 1) is a factor of the polynomial xⁿ + 1 when