Question

If $$(x^{50} + 2x^{49} + k)$$ is divisible by $$(x + 1)$$, then the value of $$k$$ is ______.

Options

• 0

• –1

• 1

• –2

Answer 1

If $$(x^{50} + 2x^{49} + k)$$ is divisible by $$(x + 1)$$, then the value of $$k$$ is 1.

Explanation:

$$f(-1) = 1 + 2(-1)^{49} + k = k - 1 = 0$$, so $$k = 1$$.