Question 24
Consider the set $$F$$ of all polynomials whose coefficients are in the set of $$\{0, 1\}$$. Let $$q(x) = x^3 + x + 1$$. The number of polynomials $$p(x)$$ in $$F$$ of degree $$14$$ such that the product $$p(x)q(x)$$ is also in $$F$$ is:
Correct Answer: 50
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